{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hexagonal Grid Topology\n",
    "\n",
    "In this notebook, we illustrate how to build a multicell topology for\n",
    "system-level simulation purposes and compute the SINR distribution across the users.\n",
    "\n",
    "More specifically, we show how to:\n",
    "- Place base stations on a hexagonal grid\n",
    "  under the wraparound principle to reduce boundary effects;\n",
    "- Ensure that the topology generation is 3GPP compliant;\n",
    "- Drop users uniformly in each sector;\n",
    "- Compute post-equalization signal-to-interference-plus-noise ratio\n",
    "  (SINR) for a given set of channel matrices.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports\n",
    "We start by importing Sionna and the relevant external libraries:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:10:43.099805Z",
     "iopub.status.busy": "2025-03-14T11:10:43.099127Z",
     "iopub.status.idle": "2025-03-14T11:10:45.768566Z",
     "shell.execute_reply": "2025-03-14T11:10:45.767636Z"
    }
   },
   "outputs": [],
   "source": [
    "import os\n",
    "os.environ['TF_CPP_MIN_LOG_LEVEL'] = '3'\n",
    "if os.getenv(\"CUDA_VISIBLE_DEVICES\") is None:\n",
    "    gpu_num = 0 # Use \"\" to use the CPU\n",
    "    if gpu_num!=\"\":\n",
    "        print(f'\\nUsing GPU {gpu_num}\\n')\n",
    "    else:\n",
    "        print('\\nUsing CPU\\n')\n",
    "    os.environ[\"CUDA_VISIBLE_DEVICES\"] = f\"{gpu_num}\"\n",
    "\n",
    "# Import Sionna\n",
    "try:\n",
    "    import sionna\n",
    "except ImportError as e:\n",
    "    import sys\n",
    "    if 'google.colab' in sys.modules:\n",
    "       # Install Sionna in Google Colab\n",
    "       print(\"Installing Sionna and restarting the runtime. Please run the cell again.\")\n",
    "       os.system(\"pip install sionna\")\n",
    "       os.kill(os.getpid(), 5)\n",
    "    else:\n",
    "       raise e\n",
    "\n",
    "# Configure the notebook to use only a single GPU and allocate only as much memory as needed\n",
    "# For more details, see https://www.tensorflow.org/guide/gpu\n",
    "import tensorflow as tf\n",
    "tf.get_logger().setLevel('ERROR')\n",
    "gpus = tf.config.list_physical_devices('GPU')\n",
    "if gpus:\n",
    "    try:\n",
    "        tf.config.experimental.set_memory_growth(gpus[0], True)\n",
    "    except RuntimeError as e:\n",
    "        print(e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Additional external libraries\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Sionna components\n",
    "from sionna.phy.utils import flatten_dims, sample_bernoulli\n",
    "from sionna.phy.utils import log2, dbm_to_watt\n",
    "from sionna.phy.constants import BOLTZMANN_CONSTANT\n",
    "from sionna.phy.channel import GenerateOFDMChannel\n",
    "from sionna.phy.ofdm import ResourceGrid, RZFPrecodedChannel, EyePrecodedChannel, LMMSEPostEqualizationSINR\n",
    "from sionna.phy.channel.tr38901 import UMi, UMa, RMa, PanelArray\n",
    "from sionna.phy.mimo import StreamManagement\n",
    "from sionna.sys import HexGrid, gen_hexgrid_topology\n",
    "from sionna.sys.utils import spread_across_subcarriers\n",
    "\n",
    "# Internal computational precision\n",
    "sionna.phy.config.precision = 'single'  # 'single' or 'double'\n",
    "\n",
    "# Set random seed for reproducibility\n",
    "sionna.phy.config.seed = 45"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate a multicell topology\n",
    "\n",
    "In system-level simulations with\n",
    "3GPP channel modeling, it is customary to place cells uniformly in space\n",
    "on a so-called [*spiral hexagonal grid*](https://nvlabs.github.io/sionna/sys/api/topology.html#sionna.sys.topology.HexGrid).\n",
    "\n",
    "The main parameters defining the hexagonal grid are:\n",
    "- Inter-site distance, determining the distance between any two adjacent\n",
    "  hexagonal cell centers;\n",
    "- Number of rings of the grid, typically 1 or 2 (corresponding to 7 and 19\n",
    "  hexagons, respectively)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:10:45.772767Z",
     "iopub.status.busy": "2025-03-14T11:10:45.772370Z",
     "iopub.status.idle": "2025-03-14T11:10:47.192989Z",
     "shell.execute_reply": "2025-03-14T11:10:47.192444Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cell center locations (X,Y,Z) [m]:\n",
      "[[   0.         0.        10.     ]\n",
      " [ -86.60254   50.        10.     ]\n",
      " [   0.       100.        10.     ]\n",
      " [  86.60254   50.        10.     ]\n",
      " [  86.60254  -50.        10.     ]\n",
      " [   0.      -100.        10.     ]\n",
      " [ -86.60254  -50.        10.     ]]\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Inter-site distance, i.e.,\n",
    "# distance between the centers of two adjacent hexagons\n",
    "isd = 100  # [m]\n",
    "\n",
    "# Number of rings (typically, 1 or 2)\n",
    "num_rings = 1\n",
    "\n",
    "# Cell height\n",
    "cell_height = 10  # [m]\n",
    "\n",
    "grid = HexGrid(isd=isd,\n",
    "               num_rings=num_rings,\n",
    "               cell_height=cell_height)\n",
    "\n",
    "print(f'Cell center locations (X,Y,Z) [m]:\\n{grid.cell_loc.numpy()}')\n",
    "fig = grid.show(show_sectors=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each hexagonal cell is divided into three sectors, as indicated in the figure.  \n",
    "When we will place base stations, each of them will serve a specific sector."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Drop users\n",
    "\n",
    "After defining the hexagonal grid, we distribute users uniformly at random within\n",
    "each sector. \n",
    "\n",
    "We can control the number of users per sector, their minimum and maximum\n",
    "distance from the nearest cell center, and their height. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:10:47.196550Z",
     "iopub.status.busy": "2025-03-14T11:10:47.196246Z",
     "iopub.status.idle": "2025-03-14T11:10:48.542247Z",
     "shell.execute_reply": "2025-03-14T11:10:48.541616Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ut_loc.shape = TensorShape([1, 7, 3, 5, 3])\n",
      "mirrors_per_ut_loc.shape = TensorShape([1, 7, 3, 5, 7, 3])\n"
     ]
    },
    {
     "data": {
      "image/png": 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ZQwDo7NmzusUjQ2H7LtA8w8mXsRLyXfgAkaDat+9g2YSlxvc9nE6n7FAClpJCFBoqEvC6dbKjEUqafAtKtEYk4N9++43uuusuio2NpejoaGrdujV9+eWX+T7HyffqQojs2Bg/r/T0dERHRyMtLQ1RUVGyw2E288cfQMuWEQByEB7uRE5ONiIiIvxVgtkWHmzYV9Xsq9q0QpXzlZ5+GnjjDaB5c2DjRjHOtkxZWVk4cOAA6tati1KlSgX890lJSXA4HKr7we12w+PxWKp9gZUUtu8CzjPalgvMie98mV68XqJatcQdR2io01/lDBvc+cqo2tTDyZNE0dHi7vett2RHo021M5ODq50DxMmX6eWhh0RCCg930ZEj5E+8Vn/mK7NqUw+zZ4vkGxtLdO6c3Fg4+VqXlsmXB9lgrJgSEtz47LMEAC48/3w8Fi50Y/Xq1ejQoQNWr14Nt9utOiCCFXg8HtUqZt//PR6PjLCKbehQUfW8ezcweTIwY4bsiFiw4+TLWDGtW+cB4EKtWvEYMwaYPl1JWL5nb4A1E1ZhzwytUoDIzekU8ynffbeYcnDgQIB7xzCZuMEVY8Vw5AjQsCGQmQl88gnw8MOyIyoYN9BRdO8OLFsG/Oc/wNKlcmIoaYMrJo+WDa54kA3GiuHZZ0XirVUrCbt2mXsYRquPVqWl2bPFRBfffAN8953cWILgvsd2tNxnnHwZC9D69cDHHwMhIUD37g4kJpo7sVl9tCotNWwI/O9/4vXIkcClS8bH4DsmcnJyjF85K5GLFy8CAMLDw0u8LH7my1gAvF4xVR0APPkk8Oqr8aha1fwzzORu+DV58mTL9tnVQkIC8P77wK5dwGuvAcOGGbv+sLAwREZG4tSpUwgPD0doKN8DmR0R4eLFizh58iRiYmI0KVTzM1/GAvDOO8ATTwBRUcCePUDlyuL3VhmMwi6Df5TUm28CTz0FxMSI/VipkrHrz8nJwYEDB+D1eo1dMSuRmJgYxMXFISQkJN97geYZTr6MFVF6OtCgAXDypBi0f/TovO+bPbHpUUCwamMujwdo2RLYsgUYPBh49VXjY/B6vVz1bCHh4eGF3vHyCFcqeJANpoVx48RADQ0aEGVn533P7BMQ6DValZUH41i7VuzP0FCiLVtkR8Osjke4UsHJl5XUX38RhYeLi/U33+R9z+zDMOqdIM3+/Qvz4INin7ZvL4YKZay4OPmq4OTLSuree8VFumvXvBdpK9z5JSYmFhiHy+WixMTEEq9Djzt/I+I+cIAoIkLs2yVLSrw4FsQ4+arg5MtKYsUKcXF2OIh27Mj7nhEJwiq0nnrQqILN88+L/Vu3LhEPt8yKi5OvCk6+rLguXSK67jpxcR4+XHY05qXXM28jqrTPnyeqXl3s4xdf1GyxLMhw8lXByZcV17x54qJcsSLRmTOyozEnvROkEY3Z3n9f7OcyZYiOHtV88SwIcPJVwcmXFcc//xCVLy8uyq+9JjsaczKqaljrKu0reTxEt9wi9nXfvrqsgtlcoHmGh1ZhrACJicDZs0DTpmIWHJZfYVMPulwuTWZycrvd/v7TOTk5+Yby1EJoqJjtCADeew/47TfNV8FYXjoXBkyB73xZoLZuFf0/AaLVq2VHE7yM7sbUr5/Y561bi7thxooq0DzDYzszdgUiYMQIMY7zAw8A7dvLjig4qY2RnXuM6tz/18qUKcAXXwAbNgAffQT897+aLp4xP652ZuwKX38NrF4NREQAM2bIjiZ4GVGlfaWqVYGJE8XrZ58Fzp/XfBWMAeCxnRnLIzsbuO46YP9+cRF+4QXZETGjZWWJY+DAAeC554DJk2VHxKwg0DzDd76M5fLSSyLxVq0KTJggOxomQ6lSwKxZ4vXMmcDBg1LDYTbFyZexf6WmKnc506YBZcvKjYfJc//9QIcOoiZk7FjZ0TA74uTL2L8mThTP+Fq1Avr0kR0NkykkRNSChIYCn38OrF0rOyJmN5x8GQOwcSOwaJF4PXeuuOiy4HbDDcBTT4nXw4eLOYAZ0wpfYljQIxIXVwB47DHgllvkxsPMw+UCYmKArVuBBQtkR8PshJMvC3offwwkJwNlyoh+noz5VKoETJokXj//PHDunNRwmI1w8mVB7cIFYNw48XriRKB6dbnxMPMZPBho3Bj45x9xJ8yYFjj5sqA2bRpw9ChQpw4wapTsaJgZhYcDc+aI1/PmAbt2yY2H2QMnXxa0Dh5URrCaOVP072RMTZcuwH/+A1y+zIU0pg1OvixojRsnRjNq106M4cxYYWbNEnfBy5cDy5bJjoZZHSdfFpTWrQM++0x0KXrpJdGvkwWfpKSkAqcodLvdSEpK8v//2muVVvGjRgE5OQYEyGyLky8LOh6PchEdNAho1kxuPEweh8OBhISEfAnYN6OSw+HI8/vnnwcqVwZ27wbmzzcyUmY7es5v+OOPP9J//vMfqlq1KgGgL7/8Ms/7Xq+X4uPjKS4ujkqVKkUdO3akv/76K89nTp8+TY8++iiVK1eOoqOj6fHHH6eMjIyA4uD5fFlub74p5myNjiY6edLYdScmJhY4F63L5aLExERjA2IBzxm8YIFy/Jw4YWCgzNQCzTO6Jt9ly5bRc889R0uWLFFNvlOnTqXo6Gj66quvaMuWLXTvvfdS3bp1KTMz0/+Zrl27UrNmzejXX3+ln376ia655hrq3bt3QHFw8mU+Z88SxcaKi+ecOcavv6ALu96TxNuRlgUZ3/Z3Op1X3Q+XLxM1by6OoUGDAo2a2ZWpkm+eFV2RfL1eL8XFxdGMGTP8vzt37hxFRETQxx9/TEREO3bsIAC0ceNG/2eWL19OISEhdPTo0SKvm5OvHGa8yxs1Slw0GzUiyskxfPVEFPidlgxHjhCtXi3+NSutCzK+xOt0Oq/62XXrxHEUEkKUkhLQaphNBZpnwgyt487lwIEDOH78ODp16uT/XXR0NFq3bo3k5GQ88sgjSE5ORkxMDG666Sb/Zzp16oTQ0FBs2LABPXr0kBG66Vy8KH7MJjvbgalTE3DxIjB6tDIh+qxZbkydmoDx41345x/j4tm7F3j5ZfF6zhzRcjVQSUlJcDgc+SZ4B8RzQo/Hk6eRjhrf3yYkJGDy5MnIyclRnTRelrffFs/CvV7RIO3NN4EnnpAdVX65t6Pv/75ntYFuT7fbjZycHDidTuTk5MDtdhf6923bAr16AZ98AjzzDPDll9xoryjKlweueIwevHQuDPjhijvfn3/+mQDQsWPH8nzuoYceoocffpiIiF544QW69tpr8y0rNjaWXn311QLXlZWVRWlpaf6fI0eO2PbO94cfiMLDRSncnD/iLkT8q/Z/43/ati3+9tbybiuQOy2jHDlCFBqad3s5HNa4Ay5KlXFhfx9oTcShQ2LbyD/HrPNz3XVEFy8We1ebmmWqnfVMvomJif9e4PP+2C355uQQNWwo/4S6+o8v4TpJduIFiGJiiDye4m93LaqNS5ow9LJ6tfo2W7NGdmSFK25BpiSFqRUrZJ9X1vxxu4u1i03PMsl33759BIBSrnhgcscdd9CwYcOIiOjtt9+mmJiYPO9funSJHA4HLVmypMB1Bcud75w54mCOjRUNibxe8/7kvjjKimH9euUCMGZMybZ9SZKnmZ/5Btudb0naJVSpopx/BR1zCQmJNGmSS/W9SZNclJCQKP3cNOrno4/E9oqMNPfxVFyWSb6+BlczZ870/y4tLU21wdXvv//u/8yKFSu4wRWJLjLR0eJgfust2dEUzkx3eW3bim0WFiYKLCVRnLstK7R2XrBAqU51OMT/zUpWQWbyZKVwsmxZ0eO72u/tzOsluu02sc369JEdjfZMlXwzMjIoJSWFUlJSCADNnj2bUlJS6NChQ0QkuhrFxMTQ119/TVu3bqX77rtPtatR8+bNacOGDbR+/Xpq0KABdzUioqefFgfxjTeKrg9mZba7vBMnlDu7u+4q/nKKW6AwYwtwNUeOiKpmM9+hyEpsFy4QOZ3iGGrRIvA4ZZ8DMv3+u2ghDhD98ovsaLRlquS7Zs0aUnv22q9fPyISd7/x8fFUpUoVioiIoI4dO9Lu3bvzLOP06dPUu3dvKlu2LEVFRdGAAQOCfpCNzZuVBPLjj7KjKZhZS/1Dhih3Lbl6sRUZX0zNQVZB5oEHxLETEkJ08GDR/sZMtT+yPf642H4331yythdmY6rkaxZ2Sr5eL1G7duLg/bddmmmZ9S7P4yEqV05sw3r1AvtbsxYomDF27VLu3AKtOjVj63YZUlOV82/RItnRaCfQPMNjO1vMkiXA2rVi+rvp02VHU7ikpKQC+0r6fl/UQe21FBoKvPKKeL1/P7BgQdH/1uPxqPYhjY+Ph8vlgsfj0TBSZjY9e4o6k1KlgHfeKfrfqfUjDlZxcYDv9Bk/HsjIkBuPNDoXBkzBLne+mZlEdeqIEmN8vOxoSk72XeQ114htWaYM0aVLuq6K2cDnnyuPK156qeh/x48p8svKUs6/8eNlR6MNrnZWYZfk+8IL4mCtXp3o/HnZ0WhD5oVp82blYvrUU7qvjlmYxyP6h/vOv6KSXcA0s6+/FtvT6STat092NCXHyVeFHZLv33+LOzSA6MMPZUejLZmNUbp2Fds0NFQ8i2JMzbhxSkHtp5+K/ndmbfdgBl6v6HEAEPXoITuakgs0z4QQERlf2W2s9PR0REdHIy0tDVFRUbLDKZa+fYH33wduvRVYv95+48hGRET4n4llZ2cbtt70dKBiReDyZbFtf/7ZsFUzizh3DoiNFcfI7bcDP/0kOyL72L5dzKft8QA//AB07Cg7ouILNM9wgysL+PVXkXgBYO5c+yVemY1RoqKAsWPF619+EY3ZGMvtkUdE4g0NBb74QnY09tKkCTBkiHg9YoTYzsGCk6/Jeb3A8OHidf/+QK4Jnmwh9yw02dnZcLlcSEhIMDQBT54MVKggXvfpY9hqmQX88QewYoV4PWgQULmy3HjsKClJnH/btokZtIKGrpXgJmHlZ77vvSeeiZQtS3TFHBSWZ6bGKEuWKM/0Zs0ybLXM5OrXV84/bhGvn1deEdu5YkWi06dlR1M83M/XRs6fB559Vrx+/nmgalW58WjNTH1me/QAbrhBvH7uOSAry7BVM5NauBDYt0+8fvllIEza7Of299RTogr69Glg0iTZ0RiDG1yZ2HPPAS++CNSvLxomRETIjsje9uwBGjYU97+9ewMffSQ7IiaLxwPExIgCcP36wN69siOSIykpCQ6HQ3WwHLfbDY/Ho9lgOKtWAZ06AQ4HsHUrcN11mizWMNzgyib27wdmzRKvZ83ixGuEBg3ECEYAsHgxcOCA3HiYPM88IxIvAHz+udxYZHI4HKptMHxtNRwOh2br6tgRuP9+UfAZMUIUgm1N10pwk7DiM1/f4O0dO4r+cMwYmZlEERHKjFEs+KSmKhOXdOkiOxr5jBwIZ+9eZcao//s/zRevKx5kQ4XVku/q1crAD3/+KTua4DN1qtL4aulS2dEwo91+u3ZzPtuFkQPhjB8vtv811xBlZ+u2Gs3xIBsqrPTM9/JloGVL8cxj6FBlAgBmrKpVgePHxQAcJ0+KPp7M/tavB9q2Fa/HjQOmTZMbj5kYNRBORgZw7bXi/JsxAxgzRrdVaYqf+VrcggUi8ZYvHzyt/szogw/Ev6dPAy6X3FiYcR55RPxbvjwwZYrcWMzEyIFwypVTtr3LBZw4oduqpOLkayJnz4ouRYA46CpWlBtPMOvYEWjVSrx+8UWl8Q2zr5deAo4eFa/fekvUdiQlJUmZ9tJMZAyE07evGFAoI0P0+rAlXSvBTcIqz3yHDxfPOq67jjv0m8GRI0rDm//8R3Y0TE/Z2USlSol93aSJ8nszDQQjg8zv/8svYn+EhBBt2qTbajTDDa5UWCH57tghGngARN9/LzsaazBixpgBA5TGV9u2lXhxzKT69FEu9Lt25X0vmOfjlT0rk2+/3H67+Xt9cPJVYfbk6/WKLg0A0b33yo7GOowolV+6RBQZKfZNo0YlXhwzoYMHRdIFRBc/NTKnvQxmR44o59/ixbKjKRwnXxVmT77ffCMOrvBwoj17ZEdjLUbclbz6qnL3+9FHmi2WmUSLFsqk7hcuFPw5X+J1Op3GBWdzRbmzdrnE/qlZs/D9IxsnXxVmTr7Z2UQNGoiDa9w42dFYkxF3JbVri30UFUXk8Wi+eCbJsmVKwWry5II/x3e++ihK7dXFi0S1aol9lJQkKdAi4OSrwszJd9YscVBVqUJkwvDykf0MqCB635X8+qtykR4xQpdVMAliY5XzryCB1q6Y9Rwxq6Js308/FfupdGmiw4dlRVo4Tr4qzJp8T5wQd1IA0dtvy46maMzY+tOou5L27cW+cjiI/vlHl1UwAyUlKQWqFSvUP1Oc492M50hxGVWQuNo57PUS3XGH2Fe9e2uySs1x8lVh1uQ7cKA4mFq2tFZVpplafxoZy6lTIvECIhEz68rIUMYQvummgj9X3ORjpnOkJIwsSFyt9uqPP5SGcT/9pNlqNcPJV4UZk2/uA2n9etnRBM4Mz8Bk3GEMG6bcLf36q+aLZwa57z6la9GhQ/qswwzniBaMKEgUdVv5blhatDDfDQsnXxVmS75eL1HbtuauQikK2a0/ZTxb83iURwW1a2u+eGaAHTuUAlS/fvquS/Y5ohU9CxKBJHczP6rj5KvCbMnXCo0HrsYupfri+OAD5eL92muyo2GBatxYOf/0nDXHbueIHgWJ4tRembWRKidfFWZKvlZpNl8YuzzPKomGDcU+jIzkoUCtZPFipeD0yiv6rcdu54heBYni1F5lZxNde635umdy8lVhpuRrlQ7jBbFTS86S+PNP5SL++OOyo1HHXV7y8niIoqOV808vdjtHzFiQ+PZbZWCiv/6SFkYenHxVmCX5Hj4sqrpggaHSCsIXdEX37mJfhoaKYfDMxm5JoKRGj1YKTL/8ot967HSOmPkY6trVXEPycvJVYZbk++ij1hkknF1dRoYoeQNErVvLjkYdDxAhnD6tdBO7807Z0ViHmY8Hs01Gw8lXhRmS788/W2t6LFY08fHK3dQPP8iORl0gz+v0vtORdTHv1EkZIOXUKV1WoSszJ0GZRowwzzSsnHxVyE6+Ho/oyA8QPfGElBCYTjweoooVxb6Ni5MdTcECaamq5zM+GdWYGzcqBaRnntF88YYwc/WvTGfOEFWqJPbtvHlyY+Hkq0J28l24UBwc5coRHT8uJQSmo6VLlYv71Kmyo8mvOC1VzdKvUwt16yrnn9kGZgiEGRs+mcHrr4v9W7683GFfOfmqkJl809JEfzSAaMYMw1fPDNKsmdjHERFEmZmyo1GU5IKt5wARRvWBffNNpWD0/vu6rMJQdus7rIXLl4maNhX7eOhQeXFw8lUhM/k++6w4KBo00LdDP5Nr/35luNCHHpIdjVCSqkojLvJ6j/506RJRmTLK+WcXdhk1S0urVys9D/78U04MgeaZUDDd7NsHzJkjXs+aBTidcuNh+qlbF+jVS7z+/HNg71658QCAx+OBy+VCfHx8nt/Hx8fD5XLB4/Go/p3b7UZCQgJcLheys7PhcrmQkJAAt9utWWxutxs5OTlwOp3IycnRdNk+Q4YAFy6I159/rvnipTBiu1lR+/ZAz56A1wuMGCHqOkxP58KAKci6873/flEa69w5b9cibrloT5mZRKVKiX3etKnsaIrHiIY9Rjy7PHpU3AUBRHffrdlipeJnvoXbv1889gGIvvrK+PVztbMKGcl35Uqla8P27Xnf45aL9jVzpvKM8csvZUcTOL0LhkYd+23aiH0QFmau8X+Li68ZRfPcc2K/16tHlJVl7Lo5+aowOvleukTUpIk4CIYNU/8Ml2Ltq1o1se8rVLB261o9GFHrs2aNUgCaOLFkyzJLLZVZ4jC7jAyiqlXl9Dzg5KvC6OT7yiti51esKPqhFYRbLppfcS56Wl78WeC0LPxc7Y6zXbt2nBRN5r33xP4vW5bo2DHj1svJV4WRyff0aXHSA0Tz51/989xy0dyKW93nq/YMD7dHtadV5K721+q5X2G1VFwdbD4ejxjuFSAaMMC49XLyVWFk8v3f/8ROv/76qw93xne+1lCcRwR2bPBjdno2eCvsXOVHSObz669KIey334xZJydfFUYl323blMHbrzbOL5+w1lKcgtLAgcoFYMsWA4IMco88ooyfvnev9ssvrJaKC9Lm07evOB7atDFmIhtOviqMSL5eL9Fdd4md3aNH4Z/lqiprCvQRgV0HeTCjffv0HeSkKMmVHyGZy9Gjyvn34Yf6r48H2ZBk6VJg5UoxkMbMmYV/triDHzB5ijO4QVgY8NJL4vWePcD77+sbYzDr2VPUMUREAO+9p+2yizLoCA9+YT7VqgETJ4rX48YpA66Yhs6FAVPQ+843K4vommtECWv8eF1WwSQq6SMCuwzsb1Zff61U70+bpu2yi1JLxY+QzCszk6hOHXFsJCTouy6udlahd/KdPl2ZUi49XZdVMEm0eERghyntzErvKR2v1tWsXbt2/AjJ5L74QhwfpUoRHTyo33oCzTNhMu627eT4ccBXwzR1KlCunNx4mLYKe0Tge/9qbroJ6NQJ+OEH4LXXgIQEIDZWl3CDTlIScPq0eP3BB3osP6nA9+Lj4+HxeNChQ4cSHR9MXz16iLGf16wR1c+ffCI7IiGEyBJDUJdIeno6oqOjkZaWhqioKE2X/cQTwDvvADffDPz6KxDKT9GZijNngCpVgMuXgTvuAH78UXZE1nf+PFChAnDpEtC6tTj/GFOzdSvQvLmYeOHHH8U5qLVA8wynihLYtAlYuFC8njuXEy8rWIUKwPDh4vW6dcAvv8iNxw569xaJNzQUWLJEdjTMzJo2BQYNEq+HDwfMUCHB6aKYiMROJAL69AHatJEdETO76dOB6Gjx+pFH5MZiddu2Ad98I1737y9atjJWGJcLiIkBNm9Wbppk4uRbTJ98Avz8MxAZKZ71MnY1oaHAG2+I10eOAK+8IjceK3vwQfFvZKSyTRkrTGysaCMAiC5IaWlSw+HkWxwXLwJjx4rXEyYANWrIjYdZR69eQOPG4vW4cUBOjtx4tJCUlFRgv1a3211oo6Xi+OgjYPdu8XrOHNGfmrGiGDIEaNQIOHVKaSgri/Tkm5SUhJCQkDw/jRo18r+flZWFoUOHomLFiihbtix69uyJEydOSIxYVB/+/TdQuzYwerTUUJgFffGF+DczExg4UG4sWnA4HPkGnQCUwSkcDodm6/J6gcGDxevatZXneIwVRXi4MvDN3LnAX39JDEa/Xk9Fk5iYSE2aNKHU1FT/z6lTp/zvP/3001SzZk1atWoV/f7773TLLbfQrbfeGtA6tOzne+gQUenSot/YZ5+VeHEsSN13nzIO8eHDsqMpOaMGmhgxwvgB85n9dO8ujqH//Ee7ZVpukI3ExERq1qyZ6nvnzp2j8PBw+ixXltu5cycBoOTk5CKvQ8vk6xu8/Y47jBms26qOHCFavVr8y/I7f57I6RTH0k03yY5GG3pPLnDqlDJxSfv2mi7advj8K9zu3URhYeJYWr5cm2VacpCNPXv2oFq1aihVqhTatGmDKVOmoFatWti0aRMuXbqETp06+T/bqFEj1KpVC8nJybjlllsMjfOnn4DFi4GQEFFlERJi6Oot4+23RXWg1ysaGb35pugPzRRlygDPPQckJgK//y76qZYpIzuqkopHSMhk5OTkICTEiTVr4rFmjXZLX7tW3POGhACffabdcu2Gz7+ru/Za0Vtl1ixg5EigY0dRJW0k6YNsLF++HOfPn0fDhg2RmpqKSZMm4ejRo9i2bRuWLl2KAQMGIDs7O8/ftGrVCu3bt8e0adNUl5mdnZ3nb9LT01GzZs0SD7Lx5JPiwO7SBfjuu2IvxtZ8z8K9XuV3Dgdw8CA3TFMTHi4G3rAHN4AEAE4AOQBcAOIL/YviaNFC9LFn+fH5V3THjwNVq4rX69YBbduWbHmBDrIh/c63W7du/tdNmzZF69atUbt2bXz66acoXbp0sZY5ZcoUTJo0SasQ/R54QCTf1avFLDUNGuR9PykpCQ6HI99Qc4BofOLxeDRv+Wk2e/bkPfEB0aF9714++a/06qtK4q1TByjm4W4Kp0658c8/CahUyYXY2Phc/wdiY0uegImAXbvE6z//FD0OIiNLvFjb4fOv6N56S/xbq5YYAtZw2tR2a+umm26i8ePH06pVqwgAnT17Ns/7tWrVotmzZxf491lZWZSWlub/OXLkiGbPfLt1E88J7rkn/3s8T694xhQaqjSKAcRzOn72lNelS0SRkWL7NGokO5qSMeq4P3hQmbP3anNmBys+/4rm8GGl4ewnn2izTMs1uLpSRkYGlS9fnubOnetvcPX555/739+1a5fUBlc7dyoP6lesyP8+Ty9GtGCB0jDG4RD/Z3kNGKBcHP/8U3Y0JXO1mX8SExM1W1efPkor8V27NFusrfD5d3WPPiq2T9u22jWctVzyHT16NK1du5YOHDhAP//8M3Xq1IkqVapEJ0+eJCLR1ahWrVq0evVq+v3336lNmzbUpk2bgNah9ZSCvu4O111HlJOT/329W31awZEjRGvWcIlbTe67E7UaFFaw7GwxNRxA1KSJ7GjMi8+/gv38s1KA27RJu+VaLvn26tWLqlatSk6nk6pXr069evWivXv3+t/PzMykIUOGUPny5SkyMpJ69OhBqampAa1D6+R75gxRpUpiB778snrJ35d4HQ6HpiV/Zn2tWoljJzycKCNDdjTW89JLSq0B97VngfB4RNc+gOjJJ7VdtuWSrxG0Tr5ERK+/LnZgTAzR+PHqVc0Oh4MAUIcOHTRbL7O2779XEgeXyYqvRg3l/PN4ZEfDrGLhQnHcREURHT+u7bIDzTPSh5e0qiefFNNUnTsHpKfHw+VyISEhAR07dkRCQgI6dOjgn2h79erVBY59y9QZPV6wUfr2Ff9WqiT6+LLi+fhj8e+5c8D48VJDYRaRnq4cKwkJYn5tqbTN/eakx50vkXimAojnd1u3EnXo0CHPHW8wN7oqKTu2HJ8yRbnr/eYb2dFY3+23i20ZFkZ0RYcIxvJ59llxvDRoINoOaI2rnVXolXyJiHr2FDu0QweihIREf+J1Op15Pqd1q89gYKeW45mZRBER4li58UbZ0djDiRNKw7XOnWVHw8xs715lONelS/VZBydfFXom3/37lYtq797cyllrdmk5/uCDSgvL/ftlR2MfgwcrtQlatlxl9nL//eIY6dJFvzH5Ofmq0DP5EhE99xwRIJJEQoL179LMxpd4r6xNsIq//lIGh3j0UdnR2IvHQ1S2rNi29erJjoaZ0cqVSp/nHTv0Ww83uJIgJMQ3pq0LpUuLofTi45VGWEY3trJTYyW3242cnBw4nU7k5ORYsuFaz57i3qxUKeCdd2RHYy+hocArr4jX+/eL4V8Z87l8GRgxQrx+5hmgcWOp4eTByVcDDocHDzwgBpF/4QUgNVX83peAPR6PwfEYN7m5nnzxulwuZGdnSyvMlMSXX4qxiAHghReAiAi58dhRv35A/fri9fDhdpqowtysUMh/4w1g+3agYkUT9i7Q7ybcPPSudiYS1V+tW4vqjf79dVtNkVm9sZIdWjt7PETly4tjolo17Zdv5LCOsuIo6rJTUpRnv08/XezVsVyutu3btWtn6nP09GmiChXEMfHqq/qvj5/5qjAi+RIR/fqrcgH47TddV1UkVm6sZJbEUhITJijHw9q12i/fLAUUPeMIZNlduihd/wIcBI+pKMq2N3Mh/3//E8fDDTeIiUz0xslXhVHJl4iob1+xw2+5Rb9WdYGwemMlq0pLUybguPVW/dZjloufnnEUddlnzyrb/LbbSrxaRkXb9mYs5G/bpkwusWqVMevk5KvCyOR79ChRmTJip3/wge6rK5QZT4pg0bWrcXdhZtnPesZR1GX7BlIAiH78UbPVB8QOtTa5FWXbm6mQ7/US3XWXOAYeeMC49XLyVWFk8iUieuEFseOrVyc6f96QVeZjljuiYOK76OZ+/jhokHhP74uuWS5+esZRlGXnfs5evbrmIRSJWR4HaKmwbW+Wwp/P11+L/e90Eu3bZ9x6OfmqMDr5ZmYS1akjDoD4eENWmYcdT34r8G3fChVcBIgakEuX9N/uZrn4meHOl4jo88+Vws+cOZqFEBA7FX4L2/ZGf8+r1So891wiXXON2PcTJugSQoE4+aowOvkSEX3xhTgASpUiOnDAsNUSkf2qvaykRw9x8QFctGCBcYlX9kXeDM98c7v+euX802Mc36IwS6GoJArb9jIK+VdbZ+fOouBbtSpRerrmqy8UJ18VMpKv10vUvr24ADz0kGGrZRIpoy0Zc9E1Sw2HWVo757Z7tzlGFTPL44DiuNq2b9eunZRCfkEFgrFjXVSunNjn776ry6oLxclXhYzkS0S0ZYsy8PvatXxHandDhijVneHh+l90zXI8maGfrxrfpCchIUQHDxY7hGKz+p2vWY6vgtZ/5bZ9/HGxv1u1kjPHMydfFbKSL5Ho8I9/Z7JJSjLHnYoRzHzi6iH3DDv16ln7omsXFy4oM9m0aGHsus3yOMDOctcqbNyo1HT88ouceDj5qpCZfE+eJIqJEQfFm28Gz0lplipRo7Rt6+taFBz71yomT1ZqI7791ph1BtuxL8OVd761aolnvf/9r7yYOPmqkJl8iYheekmc/LGxYiAAq1dHFVWwFDTWr/dd4Pmia0ZVqijnnxGCrdbHaFeeTw89JP4fHu6iv/+WFxcnXxWyk29ODlGjRuICMGqU+J2VG2IEIhgKGjVrin0bEZFIkybxRddsvv9euftNSpIdDSuJKxPvhQtENWoUXPA1UqB5JoSICDaXnp6O6OhopKWlISoqSkoMK1YAXbsCYWHAkCFuvPxygn+aPJfLhfj4eClxGSEiIsI/LWB2drbscDQ1bx4wbJh4/emnwEMPyY2HqWvVCti4EQgPB86cAcqWlR0RK46kpCQ4HA7/9TIpCZg0CahdG+jb143QUI+02ZQCzjO6FgVMQvadr0/37vlLaHavkrTznW92NlHp0uKO6rrrZEfDCnP4sNIg5777ZEfDtHDokOjHDRB99pnsaLjaWZVZku+wYcoADMuWKb+3awK2+zPfxx5TqjN37JAdDbuafv2U/bVtm+xoWEn16iX25Z13mmMSG06+KsySfBMTE+nWW0WrvIYNxbNgH7s9E7R7i89Dh5Q7qfvvlx0NK4rcNRWNGsmOhpXEunXKxCUpKbKjEfiZrwozPPP1SUsDGjQATp0C5swBRoyQGo5urnw2k5vb7YbHI+/ZjBZuugnYtAlwOoGzZ4HISNkRsaKYPx945hnxevFioFcvufGwwHk8wM03AykpwFNPAa+/LjsiIdA8w8lXggULgIEDgehoYM8eIDZWdkQsEMuXA3ffLV673cDzz8uNx+zMVhCrXRs4fFicf2fOAKGhhq2aaeDtt4EnnzTf9TPQPMOHnQQDBgA33ijughMSZEfDAtW/v/i3cmVOvEXhcDiQkJAAt9ud5/dutxsJCQlwOByGxrN4sfg3LQ0YO9bQVVtWUlJSvv3n43a7DSs8paUBEyeK14mJ5km8xaJjFbhpmOWZb24//qg8s9i8WXY0rKhcLqXRzvLlsqOxDrM1vrvzTrEPHQ6i06elhGApZmnDMWYM+dvMyJqtqiDc4EqFGZMvEdHDD4sDqV07c7TWsxutRxrKPVZwy5YaBBhkzNTt7NQpkXgBoo4dpYVhKbILUH/9RRQeLvZZ7t4iZsHJV4VZk+/Bg0o/tc8/lx2N/WhdWu/RQ+4sOXZgppHdnnlGqcX47TfZ0ViDzALUPfeIfdWtm2GrDAgnXxVmTb5ERPHx4oCqU4coM1N2NPajVWl9xw7lQv3YY3pEan9muvMlEtPO+eZ/rVNHaiiWIqMA9d13Yj+FhRHt3GnYagPCyVeFmZPv+fNE1auLA+uFF2RHY09aXPSvu07so9KlzfesyQpkV1kW5P33lULVG29IDcUSZBSgcnKIGjcW+2jkSN1XV2ycfFWYOfkSEX34oTiwypQhqbNy2FlJSuuffqpcoF9+WYfgbM4sjXUK0qCBcv5duiQ1FFOTVYCaO1fsn0qVxKxwZsXJV4XZk6/XS3TrrVylqZeSlNY9HmU+5ho1dAzSxsw+xd6WLUrh6sknpYZiWrIKUKdOKeef2WsmOPmqMHvyJSLauFG5ACQny45GndkvompKWlofO1bZLz/9pGekTKa771a6/h09Kjsa85F17g8ZIvZLs2ZEly/rsgrNcPJVYYXkS0TUv7840Fq1EndcZmP26sMrlTTes2dFAw+AqG1bfWK0YoHGjtLSlH19yy2yo2FERFu3isIQQLRmjexoro6TrwqrJN9jx4jKlhUH23vvyY5GnVkbzqgpaWK76y7lbujECR0CJOsVaOzId5xMnKjUcvgu9lwAksPrJWrfXuyLBx+UHU3RcPJVYZXkS0Q0dao44KpWJcrIkB2NOrN1GdFD7scAQ4bouy4rFWjsyLe9J01yUYUKyvnH+0GeJUvEfoiIIDpwQHY0RcPJV4WVkm9WFlH9+uLAmzhRdjQFM9NgCSVR0N1xvXpEgIuczkRDHgEEQ4HGzHzbv3dv17+FLk68smRmEtWtK66Bzz8vO5qi4+SrwkrJl4joq6+UUt++fbKjyc9OiULt7mbBAuXi26OHcd/NLgUaq/IdCyEhYj84HC4e+EaCKVPE9a9aNfPW/qnh5KvCasnX6xXjzQJEDzwgO5q87FhFmvs7XLpEFB4u/l+hgnHfyU4FGivzbX/ASQBRr16yIwouR4+K/taAGADFSjj5qrBa8iUi+vNPpaXf6tWyoxHs3DjI9x1CQ30XXxelpBi7bjsVaKzoygIQ4KKQEKK9e2VHFjz69VNanJuxx0dhOPmqsGLyJSIaOlQciE2bmmPkHbt3i8l919O1qzHrtHOBxkqu3N4JCS5/Am7WTG5swWLDBqWR44YNsqMJHCdfFVZNvv/8Q1S+vDgYX3tNdjT25rv4iupG0HPPGZP07F6gsYKCCjqdOysJ+OuvJQUXJLxecbcLiLtfK+Lkq8KqyZeIaN48cUBWrEh05ozsaOxJSbyufwfU4LvOYFJYAahsWRcBiVShgvWqQa3kgw+U8bWtOsIYJ18VVk6+ly4pM+oMHy47GvvxJd5y5UTiLV9eXGS52pcREf3wg1IVaqVuL1aSkSFaNgNEL74oO5riCzTPhIKZWlgY8NJL4vX8+cDOnVLDsR2Px4OuXV3IyIgHALz9NhAaCsTHx8PlcsHj8UiOkMnUsSPQurV4PW0acP683HjsaNo04NgxoG5dYORI2dEYJ4SISHYQektPT0d0dDTS0tIQFRUlO5xiue8+4P/+D+jSBVi+HAgJkR2RPWRlAeXLi39vuAHYulV2RMxsjh0DatYEvF6ge3fgm29kR2QfBw8CjRoB2dnAkiVAjx6yIyq+QPMM3/laxKxZQHg4sGIFsGyZ7Gjs4/HHReINCQG++EJ2NMyMqlUDBgwQr7/9Fti2zfgYkpKS4Ha7Vd9zu91ISkoyNiCNjB0rEm/79sD998uOxlicfC3immuUKpmRI4GcHLnx2MGBA8DixeL1Aw8ADRrIjYeZ1+uvA5GR4nXPnsav3+FwICEhIV8CdrvdSEhIgMPhMD6oEvrxR+Dzz8VjnpdeCsLaPF2fQJuElRtc5ZaWRlSlimiYMGuW7Gis78YblWE8L1yQHQ0zu9dfVxpfffCB8eu302Asly+LOXoBosGDZUejDW7trMIuyZeI6O23xQEbFaXfNHfBYOlS5UI6ZYrsaJhV1K6tnH8yuh7ZZRjSN94Q2zEmhujUKdnRaCPQPMMNrizG6wVatQI2bQIGDgTefFN2RNbj9QKVKwOnTwNxcUBqquyImFVs3CjOPwAYNgyYO9f4GCIiIpCTkwOn04ns7GzjAyihc+fEI55//hHbb9gw2RFpgxtc2VxoqHLCL1gApKTIjceKXC6ReAHgvffkxsKs5eabgQ4dxOv580UCMZLb7fYn3pycnAIbYZmZyyW2W+PGwODBsqORxzLJd/78+ahTpw5KlSqF1q1b47fffpMdkjS33Qb07i0qTYcPF/+yojl/HnjxRfH65puBu+6SGw+zns8+AxwOwOMBHnrIuPX6Gle5XC5kZ2fD5XKpNsIys927gXnzxOs5c0QPjqClayW4RhYvXkxOp5Peeecd2r59Ow0cOJBiYmLoRBEfetrpma/P4cNEpUuL5yaffio7Guu45x6xzUJCiI4ckR2NeR05ImbT4m2kbsQIpc3Ar7/qvz67TMBx991im/3nP7Ij0Z4tG1y1atWKhg4d6v+/x+OhatWq0ZQitpSxY/IlIkpKEgdyrVpEFy/Kjsb8tm1TLpj9+xu/fqtMorBggTKdZWio+D/Ly+MRja4A0QhLb1Y5dgrz7bdie4WHE+3eLTsa7dku+WZnZ5PD4aAvv/wyz+/79u1L9957r+rfZGVlUVpamv/nyJEjtky+Fy4QxcUpd3KhofxT2I8v8QJypmi0wt3LkSP5t5XDwXfAaj76SNlGfP4V/hMSomwru45RH2jyDZNV3V1U//zzDzweD6pUqZLn91WqVMGuXbtU/2bKlCmYNGmSEeFJVbq0GBrx+HHlUsmuLipKjJlttPh4MX50QkKC//+5n+P53pdpzx7RGjw3jwfYuxeoUUNOTGbVrJnyms+/oqtXT3YE5mD65FscEyZMwKhRo/z/T09PR82aNSVGpI/PPhMTLZQqBbz2GlC2rOyIzO3nn8VIOunpYsSip582PobcCXjy5MnIyckxTeIFRBeQ0NC8CdjhECOssbx8I11FRADvviu2EyvYkiXAxx8DL7wA9O8vCsFBTec78RIrTrXzlez4zPfiRfGsFyCaNEl2NNZx7bVim0VGyql69vENkuB0OuUFUYAFC0RVs6/KmZ/55rd4sVKN+sorsqMpmJmeFWdnK+ff2LGGrdYwtptS0Ol0omXLlli1apX/d16vF6tWrUKbNm0kRibXzJnA4cNitpUxY2RHYx2+yRMuXpRz5wuYv6/mE0+I2WbWrBH/PvGE7IjMxesFnnpKvK5ZExg6VG48hTHTmNBOJzB7tnj90kviEUdQ07kwoInFixdTREQELVq0iHbs2EGDBg2imJgYOn78eJH+3m53vrm7GS1eLDsa6+neXWnJa3RDIjuNzxusRo1S7np/+UV2NFdnpmPO6yXq2lVsuyJWXFqG7Vo7+8ybN49q1apFTqeTWrVqRb8G0LnObsn30UfFwXv77eJgZoHJyBDdHQCi1q2NW68VWjuzwp0+rVTJ33mn7GiKzkxjQu/YQRQWJrbhihXSwtAcj+2swk5jO//8M3D77WL6rd9/B1q0EHN9OhwO1UY7brcbHo/HsvN96iUhAfDVxP3wA9Cxo/7r5P1kfZ06AatWicZVx48DlSrJjqjozDQm9MiRour5uuuAzZvtMdJVwHlG16KASdjlztfjIWrZUpQYn3xS+T3fUQXO4yGqWFFsy7g42dEwK9i4UalufuYZ2dEExkx3vkREZ84QVaoktuXLL0sNRTO2rXYuCbsk34ULxcFarhzRlY+7zfRcxyq+/lq5mE6bJjsaZnZ16yrnn4zpBIvLrNeG114T27N8eaJ//pEaiiY4+aqwQ/JNSyOqUkUcrDNmqH/GbKVbK/BN6B0RQZSZKTsaZla++WcBovfflx1N0Zm5VuzyZaKmTcU2zTV6sGXxM18VdnjmO348MG2aGARh2zbRbF+NmZ7rWMGBA0D9+uKy+tBDwKefyo6Imc3ly0BMDHDhgjj//vpLdkRFZ/Z2BmvWiCkaQ0PFs98bbpAWSonxM18VVr/z3bOHyOkUJcSlSwv+HN/5Fs8jjyjj8/71l+xomNkMHKjc9W7ZIjsa++nZU2zbDh2s3XvDdoNsMDGIRk4O0Lkz0L27+mfsMNenLAsXiiE6iZQhAxkDgGPHgLffFq+7dQOaNpUbjx3NmCGG6Fy9Gvj6a9nRGEjnwoApWPnOd+VKZZi/7dvVP2Pm5zpWMXOmcnfz1Veyo2Fm0aaNOCbCwkS7C6aPiRPFdq5XjygrS3Y0xcN3vjZy+TIwYoR4PXSo6BOnxuPxqA7OHx8fD5fLBY/Ho2+gNjB6NFC1qnj9+OP5Z/ZhwWftWiA5WbweN44nAtDThAni/Nu/X/T/DQbc4MrE5s8HnnkGqFhRjINavrzsiOxt7VqgfXvxeuJEMfsKC17VqgGpqUCFCsCpU6JRENPP++8DffuK2dn++kspDFtFoHmGDyeTOn0a8N3Iut2ceI3Qrh3gm6tj+nQx9SALTjNnisQLAO+8w4nXCH36AK1bA+fPi8Kv3fEhZVJJScDZs8D11wMDB8qOJnh8/rm40F6+DDzyiOxomAxZWcDzz4vXTZsC990nN55gERoKzJ0rXi9aBGzcKDUc3XHyNaHt24HXXhOvX3oJCAuTGk5QqVZNmUJv+XJg61a58TDjDRgAZGeL8dOXLJEdTXBp3VpUPQPA8OGiCaRdcfI1GSIx6LjHA/ToYcyA/3aSlJRUYPcqt9tdpAEFXn0VKFNGvH7wQQ2DY6a3bx/wySfi9YMPigFYmLGmTBHnX3Iy8PHHsqPRDydfk1m6FFi5UoxgNXOm7GisR4vJw8PClEm/9+wB3ntPj0iZVrQocPn07CkKwBERvN9lqVZNeeY7bpwYWcyWdO34ZBJW6eeblUVUv77o7zZhguxorEurgeStOpB+sNGqn3vuiTamT9cjUlZUmZlEdeqIfREfLzuaouGJFVRYJflOm6ZMcZeeLjsaa9NiqE0rTyEXbEpa4OIpJs3niy/E/ihViujgQdnRXB0nXxVWSL6pqeIOCyBatEh2NPIlJiYWeOF0uVyUmJh41WX4Eq/T6Sx2HJ06KSOMnTxZ7MUwA5SkwBUfrxS0fvhBxyBZkXm9RO3bi33y8MOyo7k6HuHKop57DsjIAG6+GXjsMdnRyFfSZ7dut9s/u1NOTk6xx7j+5BPA4RAN4B56qFiLYAaJj4/372+n06k6k4+a8+eBqVPF69atuZGjWYSEiN4eoaFitrF162RHpDGdCwOmYPY7340bxYw6ANEvv8iOxjyKW5Wo9eTho0Ypd0W8f8yruHe+3buLfRsaSnT0qM5BsoA9/bTYPzfeKOYANiuudlZh5uTr9RLdeqs4uP77X9nRmE+gF1Q9JpnweIiio8U+qlkz4D9nBihugevPP5WC1RNPGBEpC9TJk0QxMWIfvfmm7GgKxslXhZmT70cfiYMqMpLo779lR2NOgTy71eJZsZrFi5WL9Lx5xVpEUNNrv/j+vrgFrmuvVc6/S5eKHYLu9Nx+VvDSS2I/xcYSnTsnOxp1nHxVmDX5XrhAVKOGOKjcbtnRmJMWrZa10rix2FelSxNlZ0sLw5L0nPayuInpgw+UAtXrrxd79YYI9mlDc3KIGjUS+2r0aNnRqOPkq8KsyTcxURxMtWsTXbwoOxrz0frZbUnt2KFcrPv2lRKCpZlpf3o8RFFRyvlnBWbafjIsX67Mrbxrl+xo8uPkq8KMyffQIdF/DSD67DPZ0ZiPWUv6990n9llIiNiHLDBmqckYNkwpSP32m5QQisUs208WX+O47t1lR5JfoHmG5/OV5JFHRDeWO+8E1qwRzeqZIikpCQ6HQ7W7iNvthsfjCWjYQK2cPy/mV87JAW66yf4zr+ghIiLC3x0oOzvb8PX/8w8QFye6j3XoAKxaZXgIJSJ7+8n0119AkyZi1rHly4GuXWVHpAg4z+haFDAJs935rlun3D2lpMiOhgVq0iTlrmnFCtnRWIsZ7tx8Azc4HESnTxu++hIxw/aTbfRosf8aNRLPgs2Cq51VmCn5Xr5M1Ly5OHgGDZIdDSuu2FixD6tUkR2JdZjhmeWvvyoFpxEjDFutJsyw/czg3Dnl/HvpJdnRKDj5qjBT8l2wQBw00dE8XKGVLVumXMQnT5YdjfmZ5Rl+7dpEQCJFRLhUJ8swa7cds2w/s3jrLfNdR3l4SRNLS1OmykpMBGJj5cbDiq9bN6BFC/Ha5QIuXiz+srScEs+sPB4PXC5Xvmf48fHxcLlc8Hg8usfw6qvAoUMA4EB2dgJeeKH4004azQzbz0wGDABuvFFcUxMSZEdTTDoXBkzBLHe+Y8aI0lrDhtxP1A4OHlSGBX3ggeIvh+9q9HfpkhhIw/eskKtwre/HH5VhQbdskR0NVzurMkPy/esvovBwcbB8+620MJjG+vRRGs+VpO8hJwN9DRigPCbYtk38jhsvWd/DD4t92r69GKpXJk6+KsyQfO+5Rxwk3bpJC4HpIDtb6a/dpEnJlsXJQB9Hjoi7I0Cch7mVZNrJYB/y0QwOHlTOvy++kBsLP/M1oRUrgKVLgbAwYPZs2dEwLTmdynR027cDX3xx9b8p6BlvfHw8HA5HwFPiscL17Al4vUB4OPDRR8rvSzrtZEmnvSyOYGgfEIjatYFx48Tr0aOBrCy58QRE58KAKci8883JUcYEHjnS8NUzg1SvLvZxTAyptqLNraAq5Q4dOhAAcjgcfOerkZUrlerm3DeiWlXzG/24gNsH5Hf+vHL+vfCCvDi42lmFzOQ7d644KCpVIjp71vDVM4P89JNykR837uqfv/Ji6Uu8HTp0UH2fFU9cnHL++QpFWicwox8XcPuA/D78UOznMmXkzcnMyVeFrOR76pQyD6XZZ00xE6s+S7v9dmXg96IUtHwXTd+dri/xXvl+MF9US2LKFKVAtHSp8ns9jq+SPDsuDm4fkFfuedFlTXrCyVeFrOQ7ZIg4GJo2FSNbsaKxatXaiRNKw54uXYr2N76Lp8PhUH2/uMnAqgUYrWRmEkVEiH1x4436rktWIjQ64Zvdxo1KYevXX41fPydfFTKS79atyoV4zRrDVmsbVq1aGzxYuQBs2lT4Z/W8aFu1AFNSvkLHgw8qXcD27xfv6VHokHWc8p2vOl+Xstatr972QmucfFUYnXy9XmXw9gcfNGSVtmTFC4zHQ1S2rNj39esX/DkjLtpWLcCUhO87Ai4CiHr3zvt7OxRwgnG/FlVqqnL+vfeesevm5KvC6OS7ZInY+RERRAcOGLJK27Ji1drChcrd7zvv5H/fyIu2FQswJVW5svjOYWEuys7WLznJqNoP1hqNQEydKs69qlWJMjKMWy8nXxVGJt/MTKJ69cTOf+453Vdna1ZOHPXri2OgbNn8z/uNvmhbsQBTXL6Cr7jzteaxU5hgf5ZfFFlZyvln5DWYk68KI5Ovr4VltWrGlrrsxupVaykpyt3v00/Li8PKBZhAeTxE5csr518wFTpy4wRN9NVXSu2j75m/3jj5qjAq+R49KvqZAUTvv6/rqmxNdtWaVhevLl2Ugd9TUzUMsIiMLsDIvuhPmKAUeB5/PHgKHVeSff6YgddL1KmTOBZ69jRmnZx8VRiVfPv1Ezv7lluMb2lnJ7Iv4lpdvM6eFX1+AaLbbtMh0ELIuADLvOinpSnbumZNa9eaaMHqNUda+PNPIodDHBOrV+u/Pk6+KoxIvhs2KKXuDRt0Ww0ziFYXr3HjlONi3To9IlUnqwAj66LfrZuvaxHf9fkE0yOHggwdatxYC5x8VeidfL1ecbcLiaOrMO1pcfHK/RyyRg0dgjRIIMnc6Iv+li1KAadFC37emZuVnnvrUWD85x/l/NN7lEFOvir0Tr4ffCB/XFGmDy0uXp9/riSHOXO0i81IgVYpG3nRb9BAOf8uXdJ9dZZhtTtfvR5bzJsnjo+KFYnOnNEiUnWcfFXomXwzMkTLSoDoxRc1XzyTSMuL1/XXi2OkVCkxB7AVFbVK2ciL/qJFSsFmwQLdVmM5Vn3mq0fcly6JubYBohEjtIo0P06+KvRMvs8/L3Zq3bqijy+zB60vAn/9JYY6BIj69NEyUmNdLbEaedH3eIjKlRPbtF49zRdvWVZv7axH4c03tWRYGNGOHRoEqYKTrwq9ku+BA8rg7UuWaLpoJpFeF6+ePZXxhq088llBVcpGX/R9jWkAMag+E2T3FtCCHo8t7r1XHCtdu2q2yDw4+arQK/k+9JDYme3bi0ZXTJ3VLgZ6xXvhApHT6WsYVIIAJSrsrsTI/XzihNKNpFMnzRbLTECvxxZ79hCFh4tj5ttvNVlkHpx8VeiRfNeuVQZQ2LJFs8XaktWrwbQ0ebJyt7ZsmexoAmOm54h33KFUI+rZiIYZS+9jzNf179prtW97wclXhdbJ9/JlombNxE4cPFiTRdqemS7cslWpIo6d2FjZkRSdmQpQ69crBZgxYwxbLdOZEcdYWppy/s2aVeLFXbFsCyXf2rVrE4A8P1OmTMnzmS1bttDtt99OERERVKNGDZo2bVrA69E6+b7xhth5MTFEp05pssigYLWuD3r5/nsleSQlyY6maMz06KBmTeX845Hk7MOoY+ydd8TxExUlHl9oxXLJ1+VyUWpqqv/n/Pnz/vfT0tKoSpUq1KdPH9q2bRt9/PHHVLp0aXrjjTcCWo+WyffsWaJKlcTOmzu3xIsLOlbq9K+nm28Wx1B4OFGuQ55dxcsvKwWXTz6RHQ2zIo+HqGVLcQwNHKjdcgPNM6GQrFy5coiLi/P/lClTxv/ehx9+iJycHLzzzjto0qQJHnnkEQwbNgyzZ8+WFq/bDfzzD9C4MTB4sLQwTO/vv4E1a8S/Pm63Gzk5OXA6ncjJyYHb7ZYXoGRffAGEhACXLgF9+siOxhpycoBnnxWvr7sOePhhufEEIikpqcDj3e12IykpSdP1qZ1/TAgNBebOFa8XLAA2b5YTR5ic1SqmTp0Kt9uNWrVq4dFHH8XIkSMRFibCSk5Oxh133AGn0+n/fJcuXTBt2jScPXsW5cuXNzTW3buBl18Wr+fMAcLDDV29Zbz9NjBoEOD1igP9zTeBY8fcSEhIgMvlQnx8PNxu8X8AiI+Plxyx8WrWBPr2Bd59F/j6a2DoUKBsWdlRmdvixUBmpnj9+edyYwmUw+FQPd5954HL5dJsXWrn3xNPaLZ4W7jtNqB3b+Djj4Hhw4G1a0Vh2FDa3XQHbtasWbRmzRrasmULvfbaaxQTE0MjR470v3/XXXfRoEGD8vzN9u3bCQDtKKSndFZWFqWlpfl/jhw5okm189NPi6qKdu1KtBhbO3JEtAD3VQ2CB7svUHa20l2Gf4r+06SJ7D1XPEY0OlQ7/xwO8XuW18GDyjZKTi758gKtdtb8znf8+PGYNm1aoZ/ZuXMnGjVqhFGjRvl/17RpUzidTjz11FOYMmUKIiIiih3DlClTMGnSpGL/fUFuvhl4/XUgJQU4dQqIjdV8FZa3Z48ocedG5MGAAa58d7i+/3s8HqPCM5VVqwDfVy9VimtSCnP5snLXe/iwcldnJb7jPSEhAZMnT0ZOTo6/JkgrauefxwPs3QvUqKHZamzhhx/Ev9HRQIMGxq8/hIhIywWeOnUKp0+fLvQz9erVy1OV7LN9+3Zcf/312LVrFxo2bIi+ffsiPT0dX331lf8za9asQYcOHXDmzJkCq52zs7ORnZ3t/396ejpq1qyJtLQ0REVFFe+LQRzEN98sku9TT4lEzPL6+2+gdu28FwCHAzh4kE/+K1WpApw8CVSuDJw4ITsa80tOBm69VbweORKQ2PSjRCIiIvxtH3Jfp7TA51/RpKUB114rzr85c4ARI0q+zPT0dERHRxc9z5T8Zls7H3zwAYWGhtKZf3vNv/rqq1S+fHnKycnxf2bChAnUsGHDgJarZWvndeuUwTU2by7x4mxpwQKlOtXh4AHv1bjdSpXX8uWyo7GOO+9UjqvTp2VHEzgjutvx+Xd1Y8aI7dOwIVGu9FIilulq9Msvv9CcOXNo8+bNtG/fPvrggw8oNjaW+uaaEPfcuXNUpUoVeuyxx2jbtm20ePFiioyMlNrViIjo4YeVZ788rKS6I0eI1qzhZ01qcg8z2bKl7Gis5dQpJbF07Cg7msAYOdAMn38F++svZZhJLUeZs0zy3bRpE7Vu3Zqio6OpVKlS1LhxY3rxxRcpKysrz+dyD7JRvXp1mjp1asDr0jr5HjwopoYDxFytjAWiRw9fQzRxLLHA/O9/Sq3Bb7/JjqZozDRCWLC75x5x7Nx9t7bLDTTPaP7M14wCrosvgsREwOUC6tQBduwASpfWZLHM5nbuFH1UAeCxx4D33pMbjxV5vUBMDJCRIc6/AwdkR3R1SUlJcDgcqo2r3G43PB6P5n19rRCL0VasALp2BcLCgG3bgIYNtVu2pZ/56kWPiRXOnyeqUUOUoCZP1myxzOauu04cM6VLaz+wezB5/33l7jfAp1BBL1jvwnNyiBo3FsfMqFHaL98y1c5G0mtKwQ8/FDuyTBmiv//WdNGshMw0FrHPZ58pCePllw1fve00aKCcf5cuyY7GWoJxopO5c8XxUqmSGCZYa5x8VeiVfL1eoltvFTv0scc0XTQrIbOV7j0eMREAIGpMWMlt2aIUZp58UnY01hNME52cOqWcf3rVlHDyVaFX8iUi2rhR21FSmHbMVLofO1Y5Tn76yfDV29bddytd/44elR2N9QTLRCdDhojjpFkzMSWsHjj5qtAz+RIRDRggdmyrVjzFmdmYoXR/9qyY9B0gatvW8NXbWlqa0m3klltkR2MtZjg3CqPVo6OtW5UhN9eu1TDAK3DyVaF38k1NJSpbVuzcd98N/O/N+HzSTmSX7u+6SxnwQMv5Q5nw3HNKrcKqVbKjsQYz1QoVRItHR14vUfv24th46CG9IhU4+arQO/kSEU2dKnZw1apEGRmB/a3Znk/aiezS/aZNSmIYMsTQVQcNj4eoQgXl/GOFs9L1pqSFhCVLxHEREUF04ICOgRInX1VGJN+sLKL69cWOnjgx8L+3QknUasywTevVE8dEuXL8SEJPX32lFHKmT5cdjblZraatuAXozEzl/Hv+eZ2DJE6+qoxIvkTKBSAigmjfvsD/XvZdWnGZ8WQ2Q+l+wQIlISxapPvqgl7Tpsr5l5kpOxqmpeI8OpoyRRwP1auLcRn0FmiesdikXOZ2771Ap05AdjYwdmzgfx8fHw+n0+mf8cQqk8z7Jgp3u915fu+bKNzhcBgek8fjUZ2uLT4+Hi6XS/dpDC9fFpN0A8A11wD9+um6OgZgyRIxIXp2NtC/v+xomFbcbrf/mpiTk5PvOqPm2DFg8mTxeto0oEwZnYMsDp0LA6Zg1J0vEdGffyoDv69enf/9wu4SO3ToYMk7XyJzVPGayVNPKXe9wTj7lazaEN+kJyEhRHv36rIKZqDiXlf69RPHQZs2xk1+w9XOKoxMvkREQ4eKHd+0af6Rdwo6eHyJt0OHDoV+zsysWm2utdRUpWtD166yo5FDVrV/Zqaodvb16WTWVdxjaMMGORNvcPJVYXTy/ecfovLlxc5/7bX871958FyZeAv6nBXI7tZjBrfdJvZ9WJjohxqsZNWGTJ+uXHy//lrXVTEdFaf2xOsV/b0BcfdrJE6+KoxOvkRE8+aJA6BiRaIzZ/K/f+Vd4pWJN/fnzNb6sCB850v044/KhX/8eNnRyCfrmKhaVeyDChW4lXkw+eADsd/LliU6dszYdXPyVSEj+V66RNSkiTgQhg9X/4yd7hL5ma9QvTpf9K8k4zhftUopBBnRzYTJl5FBVK2a2OdTphi/fk6+KmQkXyKilSuVkY127Mj7nhZ3BGbp4mOGbj1mMGuWcsFfskR2NOYgszbEV/0YHh7c1f/B4vnnxf6uW1dOVzNOvipkJV8ionvvFQdEly5Kqzut7hLNkvTMUgiQKTOTqFQpsa9vuEF2NOYguzbk6FGl4Vv37uJ3fKza04EDSkM7WQVfTr4qZCbfPXuUgd+/+Ub7hCn7AseE3r2VLi5//SU7GvnMUjB84gmlNuLPP80TF9PWgw+Kfdyhg3Fdi67EyVeFzORLRDRunDgwGjQgev557Uve3NBJrv37RdIFxEWAmecO89IloshIsW+uvVZZPxdY7WPtWmVaya1b5cXByVeF7OSblkZUpYo4QGbO1Gcddmq8ZTXNmyvDGl68KDsadqU33lDuft9/X/yOC6z2cPmy6M8NE0xcwsNLmlBUFDBlinjtcgEnT2q7/OIMv8a08c03QEqKeJ2UBJQuLTUcpmLQIKBOHfF6yBDA67XuUK4sr7ffBrZsAWJigEmTZEcTGE6+BunXD2jZEkhPB55/Xrvl+sZPdrlcyM7OhsvlUh1nmWnP61XGEI6LA8aPlxoOK8Snn4p/MzKAkSO5wGoH584Bzz0nXk+aBFSqJDWcwOl8J24KsqudfdavVxrl/PFHyZfHjUfkSkxUqjN/+EF2NNZl1PPhDh185x8/87WDkSPF/mzcmCgnR3Y0/MxXlVmSL5HSKrZt25K3yjNLo5ZglJGhtGJv1Up2NNZmVCHy9Gkl8dapwwVWK9u1SwzfChB9953saAROvirMlHwPHyYqXVocNJ98IjsaVly+/tuhoURHjsiOxvqMaoF8yy2JBLgIIPrll/wxcIHVGu6+W5x/99wjOxIFJ18VZkq+RESTJokDp1Ytbh1rRdu2KdXN/fvLjsY+jGiB7PEQRUcr5x+znm+/VUYuM1Of+kDzTAgRkbFPmY2Xnp6O6OhopKWlISoqSnY4uHgRaNQIOHJEtH62W0PLpKQkOBwO1RakbrcbHo8HSUlJxgemkcaNgV27gMhIIC0NCAuTHZF9RERE+BtCZWdn67KOjz8GHn1UvJ4/X7SAZtaQkwM0bQrs3g2MGQPMmCE7IkWgeYZbO0sQGakcNFOmiCRsJw6HQ7XFta9ltsPhkBRZyX38sUi8ADBzJideLRnVArl3b1H4BcQF/PJlXVbDdDB/vki8lStr22tECl3vw03CbNXORKKx1e23i+qTRx+VHY327DiKkMdDFBUlt8rSro3sjD5ezPTowK77VGsnTyqPDBYskB1NfvzMV4UZky8R0aZNyrCE69fLjkZ7dhtFyNe1ASBKTpYTgx27l8n6Tr5GcyEhchvN2XGf6uGpp8T+atFCjGxlNpx8VZg1+RIRPfmkOKBatrTn/K92Gfby9GkxNSRA1K6d3FjsVqsg684vd3exm2/WZRVFZrd9qrWUFOVGZd062dGo4+SrwszJ9/hxonLlxEG1cKHsaLRlpztf3wANDgfRqVOyo7HXtpUp90Ap338vNxbep+q8XqI77xT7qFcv2dEUjJOvCjMnXyKiGTPEgVWlin0m/bZTSX7DBuUCPWyY7GgUdqlVkMnjIapUSezbuDjZ0fA+VfPZZ2L/lCpFdOiQ7GgKxslXhdmTb3a2mG4QIHr2WdnRlJzdnmHVqSP2TVSUeR4N8F2SdpYuVQpXL74oLw7ep/ldvKicf2Zvd8bJV4XZky+RcgFwOon27JEdTcnYqfXm668rF+YPPpAdjWCnWgWzyD0t5IULxq+f96m6yZPFfqlRQ85+CQQnXxVWSL5eL1HnzuJAu+8+2dEwIvWJ2GWzW62CWezfrzTo6dnT2HXzPlX399/K+ffRR7KjubpA8wwPEWASISHAnDli9JavvwZ++AHo1El2VMHt6afFaGQA8MUXcmPx8Xg8cLlc+UYP8/3f4/HICEtXRoyYVrcu8MgjYhCVJUuAPXuABg1KtMgiC8Z9WhTjx4vz77bbxL6xHZ0LA6ZghTtfn2HDREmvSRNx58XkOHJETJoAEHXvLjua4GbUnWF2tmjUAxDdcIMmi2TF9MsvSh/s33+XHU3RcLWzCisl3zNniCpWFAfeK6/IjiZ4tW6tDN6ekSE7GmbUM9FZs5Rn/J9/rumiWRF5PKLfNUD0+OOyoyk6Tr4qrJR8iYhefVUceOXLE/3zj+xogs+qVcoFOD5edjTMx6jWwNWrK+efWVq328nVGmTef38iAWL8g9RUg4MrgUDzDE+sYEIDBwLXXw+cPQtYePIfy/rvf8W/FSsG1/ZPSkoqcDIDt9stZSaq3DHFx8f7J11wOp3+97X20Ufi37Nngeee03zxQe9qE6/88IOYeOX554G4OBkRGkTnwoApWO3Ol4johx+UEZW2bZMdTfCYNk256/36a9nRGMuMrW5zr/vKO189Y7r1VnEMhIXZZ+AbMynoMULbti4CiOrXJ8rKkhxkgLjaWYUVky8RUY8e4gJw112iKxLTV2am6OcJEDVrJjsaOczY39QXw5VJWM+4UlOVBnddu+qyiqB3ZWFqxAgXOZ3WLfhy8lVh1eS7bx9Z+mC0moceUlpY7t8vOxp5zDbSUu5kmzsmvQsGvll0ADGwP9Ne7uE0rX6zEWieCSEiMqR+W6L09HRER0cjLS0NUVFRssMJyMSJwJQpQP36wPbtQESE7Ijsad8+0a+TCOjVC1i8WHZEckVERPifrWZnZ0uNxdfPd/Lkyfli0qqfr5rLl4GYGODCBeCaa0TfX6Yd3zNe33N8wAWHIx5btgBNmsiOLnAB5xldiwImYdU7XyKi9HQx4DsgnkcyfTRtqgwvmJkpOxq5zHbnKzOmBQuUu99FiwxZZVDIXWtx6RJR5cri/61byz/WiournVVYOfkSiZPeik3vreKrr5QL7PTpsqORy8zPfGXFVK+eODbKluWuR1q4cv/5ulaWLi3/WCsJTr4qrJ58rdrpPFAyJmTweIgqVBDbtmpVzRdvKWZv7Swrpo0blcLZkCG6r872cp/np0/nHVTIahOv5MZjO9tQaCgwdy5w663AwoXA4MHATTfJjkp7vv5/APKMc+t7NuRyuTRfZ3w8cOaMeO3r3xmszDjGsBliuukm4K67gJUrgddfBxITgcqVdV+tbeV+Pj9pEnD6tHjG+9RTQFhY/vG7bUvnwoApWP3O1+e//xUlxFtvFa0B7TR1n09BVYwdOnQo8PPF/Z5paWL4SICoTZviRsyCwdmzos8vQNS2rexo7GH7djGOAUC0cqXsaEqOq51V2CX5XjnFlhmq5PRwZeOaDh066PI9775bbMvQUKKjR7WInNnZmDFK9fP69fquy44F69zsOIUqJ18Vdkm+RERud97JpWU3RtFL7v5/RNp/zy1blAvpk09qFjazMY+HKCZGHDM1a+q7LrsWrH2WLhXb0ekk2rNHdjTa4OSrwk7J9+JFotq1xYHrK/yasWtISRT0fbT8ng0aiG1YpgxP3ciK7pNPlELbyy/ruy67Fqyzs4muuUZsw2eflR2Ndjj5qrBT8iUi+uwzceCWKkV06JD43ZV3ilZ1tQuOFt/zvfeUC+gbb2gSNgsi113n6xojEome7FawJiKaMUNsvypVxDgGdmGa5Dt58mRq06YNlS5dmqKjo1U/c+jQIbr77rupdOnSFBsbS2PGjKFLV9yGrFmzhpo3b05Op5Pq169PCxcuDDgWuyVfr5fozjvFAdyrl31O0KtVtfme/Zbke3o8or80QFSnjlaRs2CyY4cYghQgeuwx/ddnl4I1EdHx40RRUWLbvfOO7Gi0ZZrkm5CQQLNnz6ZRo0apJt/Lly/T9ddfT506daKUlBRatmwZVapUiSZMmOD/zP79+ykyMpJGjRpFO3bsoHnz5pHD4aDvvvsuoFjslnyJxFiz4gJgn6qpwhqZXNnoqrjf85lnlLve334rcci2deQI0erV4l+W3/33K+OA+2qf9GCXgrXPk0+K7daypf0GLDFN8vVZuHChavJdtmwZhYaG0vHjx/2/e+211ygqKoqy/63LGTduHDVp0iTP3/Xq1Yu6dOkSUAx2TL5ERDfdJE7MqlVddPmy8nsrJ2A1WjU+OXVK6drQsaMekdrDggXKjD6hoeL/ZmKGlsAXLiiTnrRsqc867PbMd9Mmpcbg559lR6M9ywyykZycjBtuuAFVqlTx/65Lly4YPHgwtm/fjubNmyM5ORmdOnXK83ddunTBiBEjCl12dnZ2nsHg09PTNY3dLNq18+DPP11ITY3H7bcD5cr53olH/frAokUe/PSTzAi1sW+fB/Xru/DTT/Ho3Dn3O4F9z5Urldeffqp1lPbw99/AoEGA1yv+7/WKwQ+6dAFq1JAbm4+MwViuFBkpBmiJjwc2bQJuuw0oU0a75e/f78a+fQlXHPfieE9ISMC77wL16llnQAoi4IcfxOtevcSAQUFP58JAgXe+AwcOpM6dO+f53YULFwgALVu2jIiIGjRoQC+++GKez3z77bcEgC5evFjgOhMTEwlAvh+73fkSEc2Zo1Sj8k/Rfho2lL3XzGv1avVttmaN7MjyMsNd4YULysAb2v8kknikpPae69/35Z9Lxfmx63Sdut75jh8/HtOmTSv0Mzt37kSjRo2KUQzQzoQJEzBq1Cj//9PT01GzZk2JEeln+HAxFd65c7IjMb8VK4D33xfTB/71F3DttbIjMpZvar4rh2oElKn5nnwyCaGhyp0vADgcYko9M/F9h4SEBP9Ug2rDUOppxgwx7WClSsD06YDTqeXSkwp5zzp3vLn9+KM492rXlh2JOQSUfEePHo3+/fsX+pl69eoVaVlxcXH47bff8vzuxIkT/vd8//p+l/szUVFRKF26dIHLjoiIQESQTHwbEgJ07y47Cmvo0wf45x9g+XJg9Ghg6VLZERmrKNW1NWoAb74pqpo9HpF433jDPFXOucXHx+eZ49fIxHv4MOC7D5k/H3j4YcNWbVl9+siOwGR0vhO/aoOrEydO+H/3xhtvUFRUFGVlZRGRaHB1/fXX5/m73r17c4MrVmw7dypVhcuXy47GeEWtrj1yRFQ1m7m1s8yWwI88Io6htm1F1z/GTNPa+dChQ5SSkkKTJk2ismXLUkpKCqWkpFBGRgYRKV2NOnfuTJs3b6bvvvuOYmNjVbsajR07lnbu3Enz58/nrkasxEaOFBfORo2IcnJkR2M8O3RfkfnM96efxPETEkL0xx+6r45ZhGmSb79+/QjI3+hpTa6WGwcPHqRu3bpR6dKlqVKlSjR69GjVQTZuvPFGcjqdVK9ePR5kg5XY2bNElSqJC+jcucVfjhm6vBSXlQdukDnuscdD1KKFOHYGDtRtNcyCTJN8zYSTL7vSG2+IC2hMjOj/WxxWHfz+yjvfdu3aWaoQIbPQ8/bb4riJiiLK9cSMMU6+ajj5sitdvkzUrJm4kA4eXPzlmKHLSyAKiteKhQijpaURVa4sjpmZM2VHw8yGk68KTr5MzZo14kIaGiqmGCwuqzxDvdqdupUKETKMHSuOlwYN9J9QgVlPoHkmhIhIn3bU5pGeno7o6GikpaUhKipKdjjMRB56CPj8c6B9e2DVKtF1qzgiIiL8XV5yj65mJlfr57t69WqsXbsWTqezWP1mi9KPOCkpqSRfQZo9e4AmTYBLl4BvvuHufSy/gPOMrkUBk+A7X1aQAweIIiLEHc2SJcVbhlXufIuiJA2xrPoMvCjuvVccI127ctcipo6rnVVw8mWFef55cWGtW5coMzOwv7XaM9/CaFGIuPL7t2vXrsBlmbExl5oVK8TxERYmphNkTA0nXxWcfFlhzp8nql5dXGCvGEq8UHa609OyEHFlErfyNsrJIbruOnFsjBghOxpmZpx8VXDyZVfz/vviAlumDNHRo0X7Gyv3881Nj0JE7uprK9cOvPyyOC4qViQ6c0Z2NMzMuMGVCm5wxa7G6xXTwv36K9C3L/Duu7IjMo7WDaV8Y0XnbrgFIN/vjByLuThOnxaTlpw9C7z2GvD007IjYmbGDa5U8J0vK4oNG5RpzzZskB2NNRV2l1vUxlxmqVEYOlQcC02bin7hjBWGq51VcPJlRdWvn7jgtm4thhJkRVeUfsRFacxlhmfpW7eK/t+AmOOYsavh5KuCky8rqmPHiMqWFRfd99+XHY21FHTH6kua7dq1y/P/QBKwkYnX6yXq0EEcAz176r46ZhOcfFVw8mWBePFFceGtVo3o30m4dGOWKla9lOQuVlb/6S+/FPs/IoJo/35DVslsINA8E6rZ02bGbGLkSKBuXeDYMWDqVH3X5Zvg3u125/m9r9GSw+HQNwCdeTwe1cZV8fHxcLlc8Hg8Bf5tfHy8v4GW0+k0pIFWdjYwerR4PXq0OA4Y04XOhQFT4DtfFqglS4y7+7FyVxw9ybjznTpV7PeqVfWv9WD2wtXOKjj5skDlfu734IP6r89OQ1RqQUaBJPfz/vfe0201zKY4+arg5MuKI3eL1zVr9F+flSe415Ks1s79+3NLd1Z8/MyXMY3ccIMysMLw4UAhjydLzO12+59t5uTk5HsGHExK8py4uDZuBBYtEq/nzgVC+crI9KZzYcAU+M6XFdepU0QxMeKO6PXX9VkHP/OVy+slatNG7OPHHpMdDbMqrnZWwcmXlcTcueLCXKkS0dmz2i7bDANKBLsPP1TG9f77b9nRMKviamfGNDZ4MNC4MfDPP8C/wxRrRkYVK1NcuACMGydeT5wIVK8uNx4WPHhiBcaKYMUKoGtXICwM+PNPoFEj2RExLSQkAG43UKcOsHMnUKqU7IiYVQWaZ/jOl7Ei6NIFuOce4PJlYNQo/deXlJRUYKMrt9sd0CxDTN2hQ8CMGeL1rFmceJmxOPkyVkSzZgHh4cDy5cCyZfquy+4jX5nBuHFAVhbQrh3Qo4fsaFiwCZMdAGNW0aCB6HI0c6YYgrJTJ8Dp1GddvmfACQkJ/v/7Eq8V5sI1u3XrgE8/FV2KXnoJCAmRHRELNvzMl7EApKUB114LnDwJzJ4tkrCe1Cam58RbMh4PcNNNwObNoh/3a6/JjojZQaB5hpMvYwF6+23gySeB6Gjgr7+AypX1XV9ERIR/AI7s7Gx9VxYE3noLGDQIiIkR+y82VnZEzA64wRVjOuvfH2jRQtwF630TyiNfaSstDXjuOfE6KYkTL5OHky9jAXI4xBCEgLiL2rxZn/XkfsabnZ0Nl8ul2giLFZ3bDZw6JbqKDRkiOxoWzLjBFWPFcPvtQK9ewCefiEZYa9dq22hHrXGVWiMsVnS7dyuFpjlzRMt1xmTh5MtYMU2fDnz9tWg5+/nnwEMPabfswka+8r3PAjN6tOin3b27GDCFMZm4wRVjJZCUBEyaBNSuLUZIKl1adkRMzXffAd26iRHKtm8XLdYZ0xI3uGLMQOPGATVqiNGSZs2SHQ1Tc+mS0iVs+HBOvMwcOPkyVgKRkcoQhVOmAH//LTcelt+rrwK7domWzfyYnJkFJ1/GSqhXL+C224CLF4Hx42VHw3I7dQpITBSvX3hB9M1mzAw4+TJWQiEhohVtSAjw4YdAcrLsiJhPQoLo23vjjcDjj8uOhjEFJ1/GNNCyJTBggHg9fDjg9cqNhwFbtwJvvilez50r+mczZhacfBnTyAsvAOXKARs3Au+/Lzua4EYEjBghCkEPPwzccYfsiBjLi5MvYxqJi1Ma9IwfD2RkyI0nmH35JbBmjZijd/p02dEwlh8nX8Y0NGwYcM01wPHjwIsvyo4mOGVliQE1AGDsWNEHmzGz4eTLmIYiIpT+vrNnA/v2yY0nGM2eDRw8CFSvDjz7rOxoGFPHyZcxjd1zD3DXXUBOjrjzYsY5dkypcZg+HShTRm48jBWEky9jGgsJEQP3Oxzi2eOqVbIjCh4TJgAXLgC33gr07i07GsYKxsmXMR00aaJMWTdihBjQn+lrwwbgvffEa1+/a8bMipMvYzpJSgIqVAC2bVP6mzJ9eL2ifzUA9O8P3HST1HAYuypOvozppEIFwOUSr+PjgTNn5MZjZx9+KO58y5blVubMGjj5Mqajp54SVdBnzog7Yaa98+eVVs3PPw9UrSo3HsaKgpMvYzoKCxPPHwExu86OHXLjsaOpU4HUVKB+ffF8nTEr4OTLmM46dgTuvx/weERyIJIdkX0cOADMnClez5ol+lkzZgWcfBkzwMyZgNMJrFwJfPON7GjsY+xYIDtbFHDuvVd2NIwVHSdfxgxQvz4wapR4PWqUSBisZNasAb74AggNBV56ibsWMWvh5MuYQSZOFJMv7N0LvPyy7GiszVeFDwCDBwPXXy81HMYCxsmXMYOUKwdMmSJeu93AiRNy47GyBQvEfL3lywOTJsmOhrHAcfJlzEB9+4oBIDIygOeekx2NNZ09q2w7lwuoWFFuPIwVh27J94UXXsCtt96KyMhIxMTEqH4mJCQk38/ixYvzfGbt2rVo0aIFIiIicM0112DRokV6hcyY7kJDlSrnd94BNm2SG48VuVzA6dOi//TTT8uOhrHi0S355uTk4KGHHsLgwYML/dzChQuRmprq/7n//vv97x04cADdu3dH+/btsXnzZowYMQJPPvkkVqxYoVfYjOmuTRugTx/R5Wj4cO56FIidO4FXXhGv58wR/agZsyLdDt1J/z6IudqdakxMDOLi4lTfe/3111G3bl3M+neC1MaNG2P9+vWYM2cOunTpomm8jBlp6lQx49HPPwOffAI88ojsiKxh1CgxScW994ppGxmzKunlxqFDh+LJJ59EvXr18PTTT2PAgAEI+bfPQHJyMjp16pTn8126dMEIHsaGWVyNGsD48UBCAjBuHHDjjXwXdzXLlgHffSde/1seZ8yypJ7uLpcLHTp0QGRkJL7//nsMGTIE58+fx7BhwwAAx48fR5UqVfL8TZUqVZCeno7MzEyULl1adbnZ2dnIztWRMj09Xb8vwVgxjRkjWu0ePgw0biw7Guu4/37gmmtkR8FYyQSUfMePH49p06YV+pmdO3eiUaNGRVpefHy8/3Xz5s1x4cIFzJgxw598i2vKlCn+am/GzKp0aeCNN8QUeJmZsqMxt9zl51yXDcYsK6DkO3r0aPTv37/Qz9SrV6/YwbRu3RputxvZ2dmIiIhAXFwcTlzRGfLEiROIiooq8K4XACZMmIBRvuGEIO58a9asWey4GNNL167A8eOyo7AGIlFLULu27EgYK7mAkm9sbCxiY2P1igWbN29G+fLlEfHv6Oht2rTBsmXL8nxm5cqVaNOmTaHLiYiI8C+DMWYPISGceJl96PbM9/Dhwzhz5gwOHz4Mj8eDzZs3AwCuueYalC1bFkuXLsWJEydwyy23oFSpUli5ciVefPFFjBkzxr+Mp59+Gq+88grGjRuHxx9/HKtXr8ann36Kb7/9Vq+wGWOMMd2FEOnTy7B///5499138/1+zZo1aNeuHb777jtMmDABe/fuBRHhmmuuweDBgzFw4ECEhirdj9euXYuRI0dix44dqFGjBuLj469a9X2l9PR0REdHIy0tDVFRUSX9aowxxlgegeYZ3ZKvmXDyZYwxpqdA8wyP7cwYY4wZjJMvY4wxZjBOvowxxpjBOPkyxhhjBuPkyxhjjBmMky9jjDFmME6+jDHGmME4+TLGGGMG4+TLGGOMGYyTL2OMMWYwTr6MMcaYwTj5MsYYYwbTbUpBM/HNHZGeni45EsYYY3bkyy9FnasoKJJvRkYGAKBmzZqSI2GMMWZnGRkZiI6OvurngmJKQa/Xi2PHjqFcuXIICQkp9LPp6emoWbMmjhw5ErTTDwb7Ngj27w/wNgj27w/wNgAC2wZEhIyMDFSrVi3PnPQFCYo739DQUNSoUSOgv4mKigraA84n2LdBsH9/gLdBsH9/gLcBUPRtUJQ7Xh9ucMUYY4wZjJMvY4wxZjBOvleIiIhAYmIiIiIiZIciTbBvg2D//gBvg2D//gBvA0DfbRAUDa4YY4wxM+E7X8YYY8xgnHwZY4wxg3HyZYwxxgzGyZcxxhgzWFAn3xdeeAG33norIiMjERMTo/qZkJCQfD+LFy/O85m1a9eiRYsWiIiIwDXXXINFixbpH7wGivL9Dx8+jO7duyMyMhKVK1fG2LFjcfny5Tyfser3V1OnTp18+3vq1Kl5PrN161a0bdsWpUqVQs2aNTF9+nRJ0epj/vz5qFOnDkqVKoXWrVvjt99+kx2SbpKSkvLt70aNGvnfz8rKwtChQ1GxYkWULVsWPXv2xIkTJyRGXDLr1q3DPffcg2rVqiEkJARfffVVnveJCAkJCahatSpKly6NTp06Yc+ePXk+c+bMGfTp0wdRUVGIiYnBE088gfPnzxv4LUrmatugf//++Y6Jrl275vmMFtsgqJNvTk4OHnroIQwePLjQzy1cuBCpqan+n/vvv9//3oEDB9C9e3e0b98emzdvxogRI/Dkk09ixYoVOkdfclf7/h6PB927d0dOTg5++eUXvPvuu1i0aBESEhL8n7Hy9y+Iy+XKs7//97//+d9LT09H586dUbt2bWzatAkzZsxAUlIS3nzzTYkRa+eTTz7BqFGjkJiYiD/++APNmjVDly5dcPLkSdmh6aZJkyZ59vf69ev9740cORJLly7FZ599hh9//BHHjh3DAw88IDHakrlw4QKaNWuG+fPnq74/ffp0vPzyy3j99dexYcMGlClTBl26dEFWVpb/M3369MH27duxcuVKfPPNN1i3bh0GDRpk1FcosattAwDo2rVrnmPi448/zvO+JtuAGC1cuJCio6NV3wNAX375ZYF/O27cOGrSpEme3/Xq1Yu6dOmiYYT6Kuj7L1u2jEJDQ+n48eP+37322msUFRVF2dnZRGSP759b7dq1ac6cOQW+/+qrr1L58uX935+I6Nlnn6WGDRsaEJ3+WrVqRUOHDvX/3+PxULVq1WjKlCkSo9JPYmIiNWvWTPW9c+fOUXh4OH322Wf+3+3cuZMAUHJyskER6ufKa5vX66W4uDiaMWOG/3fnzp2jiIgI+vjjj4mIaMeOHQSANm7c6P/M8uXLKSQkhI4ePWpY7FpRu77369eP7rvvvgL/RqttENR3vkU1dOhQVKpUCa1atcI777yTZ8qo5ORkdOrUKc/nu3TpguTkZKPD1FxycjJuuOEGVKlSxf+7Ll26ID09Hdu3b/d/xm7ff+rUqahYsSKaN2+OGTNm5KlmT05Oxh133AGn0+n/XZcuXbB7926cPXtWRriaycnJwaZNm/Lsz9DQUHTq1MnS+/Nq9uzZg2rVqqFevXro06cPDh8+DADYtGkTLl26lGd7NGrUCLVq1bLl9jhw4ACOHz+e5/tGR0ejdevW/u+bnJyMmJgY3HTTTf7PdOrUCaGhodiwYYPhMetl7dq1qFy5Mho2bIjBgwfj9OnT/ve02gZBMbFCSbhcLnTo0AGRkZH4/vvvMWTIEJw/fx7Dhg0DABw/fjxPcgKAKlWqID09HZmZmShdurSMsDVR0HfzvVfYZ6z6/YcNG4YWLVqgQoUK+OWXXzBhwgSkpqZi9uzZAMT3rVu3bp6/yb1Nypcvb3jMWvnnn3/g8XhU9+euXbskRaWv1q1bY9GiRWjYsCFSU1MxadIktG3bFtu2bcPx48fhdDrztYeoUqWK//i3E993Utv/uc/3ypUr53k/LCwMFSpUsM026dq1Kx544AHUrVsX+/btw8SJE9GtWzckJyfD4XBotg1sl3zHjx+PadOmFfqZnTt35mlUUZj4+Hj/6+bNm+PChQuYMWOGP/majdbf3w4C2SajRo3y/65p06ZwOp146qmnMGXKlKAeZs+uunXr5n/dtGlTtG7dGrVr18ann35quYIj08Yjjzzif33DDTegadOmqF+/PtauXYuOHTtqth7bJd/Ro0ejf//+hX6mXr16xV5+69at4Xa7kZ2djYiICMTFxeVr/XjixAlERUVJOXm1/P5xcXH5Wrr6vmtcXJz/XzN9fzUl2SatW7fG5cuXcfDgQTRs2LDA7wso28SqKlWqBIfDofr9rP7diiomJgbXXnst9u7di7vuugs5OTk4d+5cnrtfu24P33c6ceIEqlat6v/9iRMncOONN/o/c2Xju8uXL+PMmTO23CaAuDZUqlQJe/fuRceOHTXbBrZLvrGxsYiNjdVt+Zs3b0b58uX9d0Ft2rTBsmXL8nxm5cqVaNOmjW4xFEbL79+mTRu88MILOHnypL+aZeXKlYiKisJ1113n/4yZvr+akmyTzZs3IzQ01P/927Rpg+eeew6XLl1CeHg4APF9GzZsaOkqZwBwOp1o2bIlVq1a5W/R7/V6sWrVKjzzzDNygzPI+fPnsW/fPjz22GNo2bIlwsPDsWrVKvTs2RMAsHv3bhw+fNhUx7dW6tati7i4OKxatcqfbNPT07FhwwZ/j4g2bdrg3Llz2LRpE1q2bAkAWL16NbxeL1q3bi0rdF39/fffOH36tL9Aotk2CLBxmK0cOnSIUlJSaNKkSVS2bFlKSUmhlJQUysjIICKi//u//6O33nqL/vzzT9qzZw+9+uqrFBkZSQkJCf5l7N+/nyIjI2ns2LG0c+dOmj9/PjkcDvruu+9kfa0iu9r3v3z5Ml1//fXUuXNn2rx5M3333XcUGxtLEyZM8C/Dyt//Sr/88gvNmTOHNm/eTPv27aMPPviAYmNjqW/fvv7PnDt3jqpUqUKPPfYYbdu2jRYvXkyRkZH0xhtvSIxcO4sXL6aIiAhatGgR7dixgwYNGkQxMTF5WrzbyejRo2nt2rV04MAB+vnnn6lTp05UqVIlOnnyJBERPf3001SrVi1avXo1/f7779SmTRtq06aN5KiLLyMjw3+eA6DZs2dTSkoKHTp0iIiIpk6dSjExMfT111/T1q1b6b777qO6detSZmamfxldu3al5s2b04YNG2j9+vXUoEED6t27t6yvFLDCtkFGRgaNGTOGkpOT6cCBA/TDDz9QixYtqEGDBpSVleVfhhbbIKiTb79+/QhAvp81a9YQkWg+fuONN1LZsmWpTJky1KxZM3r99dfJ4/HkWc6aNWvoxhtvJKfTSfXq1aOFCxca/2WK4Wrfn4jo4MGD1K1bNypdujRVqlSJRo8eTZcuXcqzHKt+/ytt2rSJWrduTdHR0VSqVClq3Lgxvfjii3lOOiKiLVu20O23304RERFUvXp1mjp1qqSI9TFv3jyqVasWOZ1OatWqFf3666+yQ9JNr169qGrVquR0Oql69erUq1cv2rt3r//9zMxMGjJkCJUvX54iIyOpR48elJqaKjHiklmzZo3qOd+vXz8iEt2N4uPjqUqVKhQREUEdO3ak3bt351nG6dOnqXfv3lS2bFmKioqiAQMG+AvsVlDYNrh48SJ17tyZYmNjKTw8nGrXrk0DBw7MV/jUYhvwlIKMMcaYwbifL2OMMWYwTr6MMcaYwTj5MsYYYwbj5MsYY4wZjJMvY4wxZjBOvowxxpjBOPkyxhhjBuPkyxhjjBmMky9jjDFmME6+jDHGmME4+TLGGGMG4+TLGGOMGez/AbadXLNkZbFQAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch_size = 1\n",
    "\n",
    "# N. users per sector\n",
    "num_ut_per_sector = 5\n",
    "\n",
    "# Min/max distance between a user and the nearest cell center\n",
    "min_bs_ut_dist = 0\n",
    "max_bs_ut_dist = None  # If None, users can be anywhere in the sector\n",
    "\n",
    "# Min/max user height\n",
    "min_ut_height = 1.5\n",
    "max_ut_height = 2\n",
    "\n",
    "# Drop users uniformly within each sector\n",
    "ut_loc, mirrors_per_ut_loc, wrap_dist_tf = \\\n",
    "    grid(batch_size,\n",
    "         num_ut_per_sector,\n",
    "         min_bs_ut_dist,\n",
    "         max_bs_ut_dist=max_bs_ut_dist,\n",
    "         min_ut_height=min_ut_height,\n",
    "         max_ut_height=max_ut_height)\n",
    "\n",
    "print(f'{ut_loc.shape = }')\n",
    "# [batch_size, num_cells, num_sectors=3, num_ut_per_sector, 3]\n",
    "\n",
    "print(f'{mirrors_per_ut_loc.shape = }')\n",
    "# [batch_size, num_cells, num_sectors=3, num_ut_per_sector, num_cells, 3]\n",
    "\n",
    "ut_loc = flatten_dims(ut_loc, num_dims=3, axis=1)\n",
    "\n",
    "fig = grid.show()\n",
    "ax = fig.get_axes()[0]\n",
    "ax.plot(ut_loc[0, :, 0], ut_loc[0, :, 1], 'xk', label='UT')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Wraparound distance\n",
    "\n",
    "Regardless of the grid size, the users at the edge of the grid experience\n",
    "reduced interference.  \n",
    "\n",
    "To eliminate border effects, the *wraparound* technique is commonly used. It involves:\n",
    "\n",
    "- Creating 6 virtual copies of the \"base\" grid, called \"mirrors\", around the\n",
    "  base grid;\n",
    "- Artificially translating, for each user, the position of a cell to\n",
    "  the closest corresponding \"mirror\" image in a neighboring hexagon.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:10:48.545046Z",
     "iopub.status.busy": "2025-03-14T11:10:48.544742Z",
     "iopub.status.idle": "2025-03-14T11:10:50.161298Z",
     "shell.execute_reply": "2025-03-14T11:10:50.160623Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = grid.show(show_mirrors=True)\n",
    "ax = fig.gca()\n",
    "\n",
    "batch = 0\n",
    "ut = 30\n",
    "\n",
    "# Plot mirror cells\n",
    "ax.plot(*ut_loc[batch, ut, :2], 'xk',\n",
    "        markersize=8, markeredgewidth=2, label='user')\n",
    "\n",
    "mirrors_per_ut_loc = flatten_dims(mirrors_per_ut_loc, num_dims=3, axis=1)\n",
    "mirrors_per_ut_xy_loc = mirrors_per_ut_loc[batch, ut, :, :2]\n",
    "for cell in range(mirrors_per_ut_xy_loc.shape[0]):\n",
    "    # Show the cell ID\n",
    "    ax.text(*mirrors_per_ut_xy_loc[cell, :2], str(cell))\n",
    "\n",
    "    # Show the translation (if any) from base to mirror cell\n",
    "    if np.linalg.norm(grid.cell_loc[cell, :2] - mirrors_per_ut_xy_loc[cell, :2]) > .1:\n",
    "        ax.arrow(*grid.cell_loc[cell, :2],\n",
    "                 *(mirrors_per_ut_xy_loc[cell, :2] - grid.cell_loc[cell, :2]),\n",
    "                 head_length=20,\n",
    "                 head_width=20,\n",
    "                 length_includes_head=True,\n",
    "                 fc='black')\n",
    "\n",
    "ax.set_title('Wraparound principle')\n",
    "ax.legend()\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the figure above, the arrows denote the translation (if any) of \"base\" cells to the artificial,\n",
    "\"mirror\" ones. \n",
    "\n",
    "One can modify the user index `ut` to assess how different user positions\n",
    "correspond to different wraparound configurations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Set up a 3GPP multicell scenario\n",
    "\n",
    "We can use the function [gen_hexgrid_topology](https://nvlabs.github.io/sionna/sys/api/topology.html#sionna.sys.topology.gen_hexgrid_topology) to place\n",
    "three base stations at the center of each hexagon, each serving\n",
    "a sector that covers a 120-degree angle, and drop users across all sectors.  \n",
    "The inter-site distance, as well as user parameters such as position,\n",
    "orientation, velocity, and indoor state are set according to a 3GPP-compliant\n",
    "scenario. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:10:50.166589Z",
     "iopub.status.busy": "2025-03-14T11:10:50.166261Z",
     "iopub.status.idle": "2025-03-14T11:10:50.302271Z",
     "shell.execute_reply": "2025-03-14T11:10:50.301481Z"
    }
   },
   "outputs": [],
   "source": [
    "scenario = 'umi'  # 'umi, 'uma', or 'rma'\n",
    "\n",
    "# Generate the spiral hexagonal grid topology\n",
    "topology = gen_hexgrid_topology(batch_size=batch_size,\n",
    "                                num_rings=num_rings,\n",
    "                                num_ut_per_sector=num_ut_per_sector,\n",
    "                                min_bs_ut_dist=min_bs_ut_dist,\n",
    "                                max_bs_ut_dist=max_bs_ut_dist,\n",
    "                                scenario=scenario,\n",
    "                                los=True)\n",
    "\n",
    "ut_loc, bs_loc, ut_orientations, bs_orientations, \\\n",
    "    ut_velocities, in_state, los, bs_virtual_loc = topology\n",
    "\n",
    "num_bs = bs_loc.shape[1]\n",
    "num_ut = ut_loc.shape[1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Per-stream SINR computation\n",
    "\n",
    "We next illustrate the functionality enabling the computation of the per-stream,\n",
    "[post-equalization signal-to-interference-plus-noise ratio (SINR)](https://nvlabs.github.io/sionna/phy/api/ofdm.html#sionna.phy.ofdm.PostEqualizationSINR).\n",
    "\n",
    "It is assumed that \n",
    "- Linear precoding is used at the transmitter;\n",
    "- Linear equalization is used at the receiver;\n",
    "- The receiver (but not necessarily the transmitter) has perfect knowledge of\n",
    "  the equalized channel.\n",
    "\n",
    "The knowledge of the SINR is useful for two main reasons:\n",
    "- SINR enables the computation of Shannon capacity, for a rapid evaluation of the\n",
    "  network's performance;\n",
    "- SINR is used by the PHY abstraction module to bypass physical layer\n",
    "  computations, as we will see later on.\n",
    "\n",
    "We will compute the SINR in a multi-cell MIMO scenario with 3GPP-compliant\n",
    "stochastic channel models and OFDM waveforms."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Simulation parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:10:50.306253Z",
     "iopub.status.busy": "2025-03-14T11:10:50.306054Z",
     "iopub.status.idle": "2025-03-14T11:10:50.310754Z",
     "shell.execute_reply": "2025-03-14T11:10:50.310136Z"
    }
   },
   "outputs": [],
   "source": [
    "carrier_frequency = 3.5e9  # [Hz]\n",
    "\n",
    "# Time/frequency resource grid\n",
    "# N. OFDM symbols in a slot\n",
    "num_ofdm_sym = 10\n",
    "sampling_frequency = 1e-3 / num_ofdm_sym\n",
    "num_subcarriers = 32\n",
    "subcarrier_spacing = 15e3  # [Hz]\n",
    "\n",
    "# Base station and user terminal transmit power\n",
    "bs_power_dbm = 56  # [dBm]\n",
    "ut_power_dbm = 13  # [dBm]\n",
    "\n",
    "direction = 'uplink'  # 'downlink' or 'uplink'\n",
    "\n",
    "# Environment temperature\n",
    "temperature = 294  # [K]\n",
    "\n",
    "# 3GPP scenario parameters\n",
    "# Outdoor-to-indoor pathloss model\n",
    "o2i_model = 'low'  # 'low' or 'high'\n",
    "# Parameters pnly relevant for RMa\n",
    "average_street_width = 20.\n",
    "average_building_height = 10.\n",
    "\n",
    "assert direction in ['uplink', 'downlink']\n",
    "assert o2i_model in ['low', 'high']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:10:50.313862Z",
     "iopub.status.busy": "2025-03-14T11:10:50.313590Z",
     "iopub.status.idle": "2025-03-14T11:10:50.320223Z",
     "shell.execute_reply": "2025-03-14T11:10:50.319348Z"
    }
   },
   "outputs": [],
   "source": [
    "if direction == 'downlink':\n",
    "    num_rx, num_tx = num_ut, num_bs\n",
    "else:\n",
    "    num_rx, num_tx = num_bs, num_ut\n",
    "\n",
    "# Convert power to W\n",
    "ut_power = dbm_to_watt(ut_power_dbm)  # [W]\n",
    "bs_power = dbm_to_watt(bs_power_dbm)  # [W]\n",
    "\n",
    "# Noise power per subcarrier\n",
    "no = BOLTZMANN_CONSTANT * temperature * subcarrier_spacing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Set the antenna patterns\n",
    "\n",
    "We set the antenna patterns for base stations and user terminals.\n",
    "\n",
    "Note that the base stations must have a sufficient number of antennas to serve\n",
    "all connected users simultaneously."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:10:50.322798Z",
     "iopub.status.busy": "2025-03-14T11:10:50.322449Z",
     "iopub.status.idle": "2025-03-14T11:10:50.344325Z",
     "shell.execute_reply": "2025-03-14T11:10:50.343516Z"
    }
   },
   "outputs": [],
   "source": [
    "# Create antenna arrays\n",
    "bs_array = PanelArray(num_rows_per_panel=3,\n",
    "                      num_cols_per_panel=2,\n",
    "                      polarization='dual',\n",
    "                      polarization_type='VH',\n",
    "                      antenna_pattern='38.901',\n",
    "                      carrier_frequency=carrier_frequency)\n",
    "\n",
    "ut_array = PanelArray(num_rows_per_panel=1,\n",
    "                      num_cols_per_panel=1,\n",
    "                      polarization='dual',\n",
    "                      polarization_type='VH',\n",
    "                      antenna_pattern='omni',\n",
    "                      carrier_frequency=carrier_frequency)\n",
    "\n",
    "num_ut_ant = ut_array.num_ant\n",
    "num_bs_ant = bs_array.num_ant"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Create a 3GPP channel model\n",
    "\n",
    "Creating a 3GPP-compliant channel model can be done easily via [Sionna PHY's\n",
    "integrated\n",
    "models](https://nvlabs.github.io/sionna/phy/api/channel.wireless.html#gpp-38-901-channel-models).  \n",
    "We can choose from Urban Micro-cell (UMi), Urban Macro-cell (UMa), and Rural\n",
    "Macro-cell (RMa)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:10:50.347036Z",
     "iopub.status.busy": "2025-03-14T11:10:50.346798Z",
     "iopub.status.idle": "2025-03-14T11:10:50.364107Z",
     "shell.execute_reply": "2025-03-14T11:10:50.363191Z"
    }
   },
   "outputs": [],
   "source": [
    "# Create channel model\n",
    "if scenario == 'umi':    # Urban micro-cell\n",
    "    channel_model = UMi(carrier_frequency=carrier_frequency,\n",
    "                        o2i_model=o2i_model,\n",
    "                        ut_array=ut_array,\n",
    "                        bs_array=bs_array,\n",
    "                        direction=direction,\n",
    "                        enable_pathloss=True,\n",
    "                        enable_shadow_fading=True)\n",
    "elif scenario == 'uma':  # Urban macro-cell\n",
    "    channel_model = UMa(carrier_frequency=carrier_frequency,\n",
    "                        o2i_model=o2i_model,\n",
    "                        ut_array=ut_array,\n",
    "                        bs_array=bs_array,\n",
    "                        direction=direction,\n",
    "                        enable_pathloss=True,\n",
    "                        enable_shadow_fading=True)\n",
    "elif scenario == 'rma':  # Rural macro-cell\n",
    "    channel_model = RMa(carrier_frequency=carrier_frequency,\n",
    "                        ut_array=ut_array,\n",
    "                        bs_array=bs_array,\n",
    "                        direction=direction,\n",
    "                        average_street_width=average_street_width,\n",
    "                        average_building_height=average_building_height,\n",
    "                        enable_pathloss=True,\n",
    "                        enable_shadow_fading=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now apply the multicell topology to the specified channel model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:10:50.367110Z",
     "iopub.status.busy": "2025-03-14T11:10:50.366811Z",
     "iopub.status.idle": "2025-03-14T11:10:54.067807Z",
     "shell.execute_reply": "2025-03-14T11:10:54.067198Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "channel_model.set_topology(*topology)\n",
    "channel_model.show_topology()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Generate OFDM channel matrices\n",
    "\n",
    "After creating the channel model, we will\n",
    "- Generate the channel impulse response (CIR) for each pair of transmit and\n",
    "  receive antennas;\n",
    "- Convert the CIRs to OFDM channel matrices, for each transmitter/receiver pair.\n",
    "\n",
    "These two steps are handled by the [GenerateOFDMChannel](https://nvlabs.github.io/sionna/phy/api/channel.wireless.html#sionna.phy.channel.GenerateOFDMChannel) object."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:10:54.070186Z",
     "iopub.status.busy": "2025-03-14T11:10:54.069850Z",
     "iopub.status.idle": "2025-03-14T11:10:55.497311Z",
     "shell.execute_reply": "2025-03-14T11:10:55.496444Z"
    }
   },
   "outputs": [],
   "source": [
    "# Set n. streams per user = n. antennas\n",
    "num_streams_per_ut = num_ut_ant\n",
    "\n",
    "# Set up the OFDM resource grid\n",
    "resource_grid = ResourceGrid(num_ofdm_symbols=num_ofdm_sym,\n",
    "                             fft_size=num_subcarriers,\n",
    "                             subcarrier_spacing=subcarrier_spacing,\n",
    "                             num_tx=num_ut_per_sector,\n",
    "                             num_streams_per_tx=num_streams_per_ut)\n",
    "\n",
    "# Instantiate the OFDM channel generator\n",
    "ofdm_channel = GenerateOFDMChannel(channel_model, resource_grid)\n",
    "\n",
    "# Generate the OFDM channel matrix\n",
    "# [batch_size, num_rx, num_rx_ant, num_tx, num_tx_ant, num_ofdm_symbols, num_subcarriers]\n",
    "h_freq = ofdm_channel(batch_size)\n",
    "\n",
    "assert num_streams_per_ut <= num_ut_ant, \\\n",
    "    \"The # of streams per user must not exceed the # of its antennas\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Stream management\n",
    "\n",
    "We now associate each receiver to the corresponding serving transmitter, via a\n",
    "[StreamManagement](https://nvlabs.github.io/sionna/phy/api/mimo.html#stream-management) object."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:10:55.501652Z",
     "iopub.status.busy": "2025-03-14T11:10:55.501378Z",
     "iopub.status.idle": "2025-03-14T11:10:55.514480Z",
     "shell.execute_reply": "2025-03-14T11:10:55.513840Z"
    }
   },
   "outputs": [],
   "source": [
    "# For simplicity, each user is served by its closest base station\n",
    "if direction == 'downlink':\n",
    "    num_streams_per_tx = num_streams_per_ut * num_ut_per_sector\n",
    "    # RX-TX association matrix\n",
    "    rx_tx_association = np.zeros([num_rx, num_tx])\n",
    "    idx = np.array([[i1, i2] for i2 in range(num_tx) for i1 in\n",
    "                    np.arange(i2*num_ut_per_sector, (i2+1)*num_ut_per_sector)])\n",
    "    rx_tx_association[idx[:, 0], idx[:, 1]] = 1\n",
    "else:\n",
    "    num_streams_per_tx = num_streams_per_ut\n",
    "    # RX-TX association matrix\n",
    "    rx_tx_association = np.zeros([num_rx, num_tx])\n",
    "    idx = np.array([[i1, i2] for i1 in range(num_rx) for i2 in\n",
    "                    np.arange(i1*num_ut_per_sector, (i1+1)*num_ut_per_sector)])\n",
    "    rx_tx_association[idx[:, 0], idx[:, 1]] = 1\n",
    "\n",
    "# Instantiate a Stream Management object\n",
    "stream_management = StreamManagement(rx_tx_association, num_streams_per_tx)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Compute SINR\n",
    "\n",
    "We are finally ready to compute the post-equalization SINR on a per-stream basis. \n",
    "\n",
    "Note that the transmitter must allocate powers across streams, a task handled by\n",
    "the scheduler and power control.  \n",
    "Since these modules are not the focus of this notebook, we assume a\n",
    "simplified model with uniform power allocation  across randomly selected\n",
    "streams."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:10:55.518114Z",
     "iopub.status.busy": "2025-03-14T11:10:55.517910Z",
     "iopub.status.idle": "2025-03-14T11:10:55.644144Z",
     "shell.execute_reply": "2025-03-14T11:10:55.643348Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sinr.shape = TensorShape([1, 10, 32, 105, 2])\n"
     ]
    }
   ],
   "source": [
    "# User streams are allocated randomly across subcarriers\n",
    "# Uniform power allocation\n",
    "# [batch_size, num_ofdm_sym, num_subcarriers, num_tx, num_streams_per_tx]\n",
    "is_scheduled = sample_bernoulli([batch_size,\n",
    "                                 num_ofdm_sym,\n",
    "                                 num_subcarriers,\n",
    "                                 num_ut,\n",
    "                                 num_streams_per_ut],\n",
    "                                p=.3)\n",
    "\n",
    "tx_power_per_ut = ut_power if direction == 'uplink' else bs_power / num_ut_per_sector\n",
    "tx_power_per_ut = tf.fill([batch_size, num_ofdm_sym, num_ut], tx_power_per_ut)\n",
    "\n",
    "# [batch_size, num_tx, num_streams_per_tx, num_ofdm_sym, num_subcarriers]\n",
    "tx_power = spread_across_subcarriers(tx_power_per_ut,\n",
    "                                     is_scheduled,\n",
    "                                     num_tx=num_tx)\n",
    "\n",
    "if direction == 'downlink':\n",
    "    precoded_channel = RZFPrecodedChannel(resource_grid=resource_grid,\n",
    "                                          stream_management=stream_management)\n",
    "    h_eff = precoded_channel(h_freq, tx_power=tx_power, alpha=no)\n",
    "else:\n",
    "    # No precoding in the uplink\n",
    "    precoded_channel = EyePrecodedChannel(resource_grid=resource_grid,\n",
    "                                          stream_management=stream_management)\n",
    "    h_eff = precoded_channel(h_freq, tx_power=tx_power)\n",
    "\n",
    "lmmse_posteq_sinr = LMMSEPostEqualizationSINR(resource_grid=resource_grid,\n",
    "                                              stream_management=stream_management)\n",
    "\n",
    "# [batch_size, num_ofdm_symbols, num_subcarriers, num_rx, num_streams_per_rx]\n",
    "sinr = lmmse_posteq_sinr(h_eff, no=no, interference_whitening=True)\n",
    "# [batch_size, num_ofdm_symbols, num_subcarriers, num_ut, num_streams_per_ut]\n",
    "sinr = tf.reshape(sinr,\n",
    "                  sinr.shape[:-2] + [num_bs*num_ut_per_sector, num_streams_per_ut])\n",
    "print(f'{sinr.shape = }')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is immediate to compute the associated Shannon capacity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:10:55.647805Z",
     "iopub.status.busy": "2025-03-14T11:10:55.647505Z",
     "iopub.status.idle": "2025-03-14T11:10:55.653192Z",
     "shell.execute_reply": "2025-03-14T11:10:55.652539Z"
    }
   },
   "outputs": [],
   "source": [
    "# Compute maximum achievable spectral efficiency (SE) per resource element\n",
    "# [batch_size, num_ofdm_sym, num_subcarriers, num_ut]\n",
    "se_shannon = tf.reduce_sum(log2(1 + sinr), axis=-1)\n",
    "\n",
    "# Average across resource elements for each user\n",
    "# [batch_size, num_ut]\n",
    "se_shannon = tf.reduce_mean(se_shannon, axis=[-2, -3])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now visualize the produced SINR and the spectral efficiency distribution across users."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:10:55.656322Z",
     "iopub.status.busy": "2025-03-14T11:10:55.656081Z",
     "iopub.status.idle": "2025-03-14T11:10:55.918108Z",
     "shell.execute_reply": "2025-03-14T11:10:55.917246Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x350 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def get_cdf(values):\n",
    "    \"\"\"\n",
    "    Computes the Cumulative Distribution Function (CDF) of the input vector\n",
    "    \"\"\"\n",
    "    values = np.array(values).flatten()\n",
    "    n = len(values)\n",
    "    sorted_val = np.sort(values)\n",
    "    cumulative_prob = np.arange(1, n+1) / n\n",
    "    return sorted_val, cumulative_prob\n",
    "\n",
    "# Plot SINR\n",
    "fig, ax = plt.subplots(1, 2, figsize=(8, 3.5))\n",
    "\n",
    "ax[0].plot(*get_cdf(10*np.log10(sinr[sinr > 0])))\n",
    "ax[0].set_xlabel('SINR [dB]')\n",
    "ax[0].set_ylabel('Cumulative density function')\n",
    "ax[0].set_title('SINR across Users and Resource Elements')\n",
    "ax[0].grid()\n",
    "\n",
    "# Plot SE\n",
    "ax[1].plot(*get_cdf(se_shannon))\n",
    "ax[1].grid()\n",
    "ax[1].set_title('Shannon spectral efficiency ')\n",
    "ax[1].set_ylabel('Cumulative density function')\n",
    "ax[1].set_xlabel('Spectral Efficiency [bps/Hz]')\n",
    "fig.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Differentiability\n",
    "\n",
    "We finally show that the per-user Shannon capacity is differentiable with\n",
    "respect to the transmit power.  \n",
    "In fact, this holds for any differentiable function of the SINR."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-03-14T11:10:55.920982Z",
     "iopub.status.busy": "2025-03-14T11:10:55.920677Z",
     "iopub.status.idle": "2025-03-14T11:10:56.372371Z",
     "shell.execute_reply": "2025-03-14T11:10:56.371476Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tx_power_re.shape = TensorShape([1, 105, 2, 10, 32])\n",
      "d_capacity_d_tx_power.shape = (1, 105, 2, 10, 32)\n"
     ]
    }
   ],
   "source": [
    "# Transmit power value at which the gradient is computed\n",
    "tx_power_re = tf.Variable(tf.ones([batch_size, num_tx, num_streams_per_tx, num_ofdm_sym, num_subcarriers]))\n",
    "\n",
    "with tf.GradientTape() as tape:\n",
    "    if direction == 'downlink':\n",
    "        precoded_channel = RZFPrecodedChannel(resource_grid=resource_grid,\n",
    "                                              stream_management=stream_management)\n",
    "        h_eff = precoded_channel(h_freq, tx_power=tx_power_re, alpha=no)\n",
    "    else:\n",
    "        precoded_channel = EyePrecodedChannel(resource_grid=resource_grid,\n",
    "                                              stream_management=stream_management)\n",
    "        h_eff = precoded_channel(h_freq, tx_power=tx_power_re)\n",
    "\n",
    "    lmmse_posteq_sinr = LMMSEPostEqualizationSINR(resource_grid=resource_grid,\n",
    "                                                  stream_management=stream_management)\n",
    "\n",
    "    # [batch_size, num_ofdm_symbols, num_effective_subcarriers, num_rx, num_streams_per_rx]\n",
    "    sinr = lmmse_posteq_sinr(h_eff, no=no, interference_whitening=True)\n",
    "\n",
    "    # Per-stream Shannon capacity\n",
    "    capacity_re = log2(1 + sinr)\n",
    "\n",
    "    # Average capacity across users and resources\n",
    "    capacity_re_avg = tf.reduce_mean(capacity_re)\n",
    "\n",
    "print(f'{tx_power_re.shape = }')\n",
    "# [num_tx, num_streams_per_tx]\n",
    "\n",
    "# Compute Gradient d(capacity_re_avg)/d(tx_power_i), for all i\n",
    "d_capacity_d_tx_power = tape.gradient(capacity_re_avg, tx_power_re).numpy()\n",
    "\n",
    "print(f'{d_capacity_d_tx_power.shape = }')\n",
    "# [num_tx, num_streams_per_tx, num_ut]"
   ]
  },
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   "metadata": {},
   "source": [
    "## Conclusions\n",
    "\n",
    "The [gen_hexgrid_topology](https://nvlabs.github.io/sionna/sys/api/topology.html#sionna.sys.topology.gen_hexgrid_topology) function enables the creation of a 3GPP-compliant\n",
    "multicell scenario with hexagonal cells arranged on a spiral grid.  \n",
    "To eliminate\n",
    "border effects at the network edge, the wraparound technique is\n",
    "applied by assigning each user a set of \"mirror\" base station position.\n",
    "\n",
    "Once users are placed in the network, the SINR\n",
    "and the associated Shannon capacity can be computed, providing an upper bound\n",
    "for the achievable spectral efficiency.  \n",
    "\n",
    "Evaluating the *actual* spectral efficiency would ideally require\n",
    "simulating the entire physical layer (PHY) chain, including\n",
    "modulation, coding, demodulation, and decoding.\n",
    "\n",
    "As a computationally cheaper alternative, one can bypass the PHY chain\n",
    "via the [PHYAbstraction](https://nvlabs.github.io/sionna/sys/api/abstraction.html) functionality, as shown in the\n",
    "[physical layer abstraction notebook](https://nvlabs.github.io/sionna/sys/tutorials/PHY_Abstraction.html)."
   ]
  }
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